Calcular y contar todos los divisores comunes de los dos números 383.628.960 y 0. Calculadora en línea

¿Los divisores comunes de los números 383.628.960 y 0?

Los divisores comunes de los números 383.628.960 y 0 son todos los divisores de su 'máximo común divisor', mcd


Calcular el máximo común divisor, mcd:

El cero es divisible por cualquier número que no sea cero (no queda resto al dividirlo por otro número).

El máximo divisor del número 383.628.960 es el número mismo.

⇒ mcd (383.628.960; 0) = 383.628.960

» Calculadora online. Calcular el máximo común divisor



Para encontrar todos los divisores del 'mcd', necesitamos descomponerlo en factores primos.

La descomposición en factores primos de un número (descomposición factorial) = descomponer el número como un producto (multiplicación) de uno o varios números primos.


383.628.960 = 25 × 36 × 5 × 11 × 13 × 23
383.628.960 no es un numero primo sino un numero compuesto.




¿Cómo contar el número de divisores de un número?

  • Si un número N se descompone en factores primos como:
    N = am × bk × cz
    donde a, b, c son los factores primos; m, k, z son sus exponentes, números naturales, ....
  • ...
  • Entonces el número de divisores del número N se puede calcular de esta manera:
    n = (m + 1) × (k + 1) × (z + 1)
  • ...
  • En nuestro caso, el número de divisores se calcula como:
  • n = (5 + 1) × (6 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 6 × 7 × 2 × 2 × 2 × 2 = 672

Pero para calcular realmente los divisores, vea a continuación...

3. Multiplica los factores primos del 'mcd':

Multiplica los factores primos involucrados en la descomposición en factores primos del MCD en todas sus combinaciones únicas, que dan resultados diferentes.

Considere también los exponentes de los factores primos (ejemplo: 32 = 3 × 3 = 9).

También agregue 1 a la lista de divisores. todos los numeros son divisibles por 1.


Todos los divisores se enumeran a continuación, en orden ascendente

La lista de divisores:

Ni primo ni compuesto = 1
factor primo = 2
factor primo = 3
22 = 4
factor primo = 5
2 × 3 = 6
23 = 8
32 = 9
2 × 5 = 10
factor primo = 11
22 × 3 = 12
factor primo = 13
3 × 5 = 15
24 = 16
2 × 32 = 18
22 × 5 = 20
2 × 11 = 22
factor primo = 23
23 × 3 = 24
2 × 13 = 26
33 = 27
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
22 × 32 = 36
3 × 13 = 39
23 × 5 = 40
22 × 11 = 44
32 × 5 = 45
2 × 23 = 46
24 × 3 = 48
22 × 13 = 52
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
5 × 13 = 65
2 × 3 × 11 = 66
3 × 23 = 69
23 × 32 = 72
2 × 3 × 13 = 78
24 × 5 = 80
34 = 81
23 × 11 = 88
2 × 32 × 5 = 90
22 × 23 = 92
25 × 3 = 96
32 × 11 = 99
23 × 13 = 104
22 × 33 = 108
2 × 5 × 11 = 110
5 × 23 = 115
32 × 13 = 117
23 × 3 × 5 = 120
2 × 5 × 13 = 130
22 × 3 × 11 = 132
33 × 5 = 135
2 × 3 × 23 = 138
11 × 13 = 143
24 × 32 = 144
22 × 3 × 13 = 156
25 × 5 = 160
2 × 34 = 162
3 × 5 × 11 = 165
24 × 11 = 176
22 × 32 × 5 = 180
23 × 23 = 184
3 × 5 × 13 = 195
2 × 32 × 11 = 198
32 × 23 = 207
24 × 13 = 208
23 × 33 = 216
22 × 5 × 11 = 220
2 × 5 × 23 = 230
2 × 32 × 13 = 234
24 × 3 × 5 = 240
35 = 243
11 × 23 = 253
22 × 5 × 13 = 260
23 × 3 × 11 = 264
2 × 33 × 5 = 270
22 × 3 × 23 = 276
2 × 11 × 13 = 286
25 × 32 = 288
33 × 11 = 297
13 × 23 = 299
23 × 3 × 13 = 312
22 × 34 = 324
2 × 3 × 5 × 11 = 330
3 × 5 × 23 = 345
33 × 13 = 351
25 × 11 = 352
23 × 32 × 5 = 360
24 × 23 = 368
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
34 × 5 = 405
2 × 32 × 23 = 414
25 × 13 = 416
3 × 11 × 13 = 429
24 × 33 = 432
23 × 5 × 11 = 440
22 × 5 × 23 = 460
22 × 32 × 13 = 468
25 × 3 × 5 = 480
2 × 35 = 486
32 × 5 × 11 = 495
2 × 11 × 23 = 506
23 × 5 × 13 = 520
24 × 3 × 11 = 528
22 × 33 × 5 = 540
23 × 3 × 23 = 552
22 × 11 × 13 = 572
32 × 5 × 13 = 585
2 × 33 × 11 = 594
2 × 13 × 23 = 598
33 × 23 = 621
24 × 3 × 13 = 624
23 × 34 = 648
22 × 3 × 5 × 11 = 660
2 × 3 × 5 × 23 = 690
2 × 33 × 13 = 702
5 × 11 × 13 = 715
24 × 32 × 5 = 720
36 = 729
25 × 23 = 736
3 × 11 × 23 = 759
22 × 3 × 5 × 13 = 780
23 × 32 × 11 = 792
2 × 34 × 5 = 810
22 × 32 × 23 = 828
2 × 3 × 11 × 13 = 858
25 × 33 = 864
24 × 5 × 11 = 880
34 × 11 = 891
3 × 13 × 23 = 897
23 × 5 × 23 = 920
23 × 32 × 13 = 936
22 × 35 = 972
2 × 32 × 5 × 11 = 990
22 × 11 × 23 = 1.012
32 × 5 × 23 = 1.035
24 × 5 × 13 = 1.040
34 × 13 = 1.053
25 × 3 × 11 = 1.056
23 × 33 × 5 = 1.080
24 × 3 × 23 = 1.104
23 × 11 × 13 = 1.144
2 × 32 × 5 × 13 = 1.170
22 × 33 × 11 = 1.188
22 × 13 × 23 = 1.196
35 × 5 = 1.215
2 × 33 × 23 = 1.242
25 × 3 × 13 = 1.248
5 × 11 × 23 = 1.265
32 × 11 × 13 = 1.287
24 × 34 = 1.296
23 × 3 × 5 × 11 = 1.320
22 × 3 × 5 × 23 = 1.380
22 × 33 × 13 = 1.404
2 × 5 × 11 × 13 = 1.430
25 × 32 × 5 = 1.440
2 × 36 = 1.458
33 × 5 × 11 = 1.485
5 × 13 × 23 = 1.495
2 × 3 × 11 × 23 = 1.518
23 × 3 × 5 × 13 = 1.560
24 × 32 × 11 = 1.584
22 × 34 × 5 = 1.620
23 × 32 × 23 = 1.656
22 × 3 × 11 × 13 = 1.716
33 × 5 × 13 = 1.755
25 × 5 × 11 = 1.760
2 × 34 × 11 = 1.782
2 × 3 × 13 × 23 = 1.794
24 × 5 × 23 = 1.840
34 × 23 = 1.863
24 × 32 × 13 = 1.872
23 × 35 = 1.944
22 × 32 × 5 × 11 = 1.980
23 × 11 × 23 = 2.024
2 × 32 × 5 × 23 = 2.070
25 × 5 × 13 = 2.080
2 × 34 × 13 = 2.106
3 × 5 × 11 × 13 = 2.145
24 × 33 × 5 = 2.160
25 × 3 × 23 = 2.208
32 × 11 × 23 = 2.277
24 × 11 × 13 = 2.288
22 × 32 × 5 × 13 = 2.340
23 × 33 × 11 = 2.376
23 × 13 × 23 = 2.392
2 × 35 × 5 = 2.430
22 × 33 × 23 = 2.484
2 × 5 × 11 × 23 = 2.530
2 × 32 × 11 × 13 = 2.574
25 × 34 = 2.592
24 × 3 × 5 × 11 = 2.640
35 × 11 = 2.673
32 × 13 × 23 = 2.691
23 × 3 × 5 × 23 = 2.760
23 × 33 × 13 = 2.808
22 × 5 × 11 × 13 = 2.860
22 × 36 = 2.916
2 × 33 × 5 × 11 = 2.970
2 × 5 × 13 × 23 = 2.990
22 × 3 × 11 × 23 = 3.036
33 × 5 × 23 = 3.105
24 × 3 × 5 × 13 = 3.120
35 × 13 = 3.159
25 × 32 × 11 = 3.168
23 × 34 × 5 = 3.240
11 × 13 × 23 = 3.289
24 × 32 × 23 = 3.312
23 × 3 × 11 × 13 = 3.432
2 × 33 × 5 × 13 = 3.510
22 × 34 × 11 = 3.564
22 × 3 × 13 × 23 = 3.588
36 × 5 = 3.645
25 × 5 × 23 = 3.680
2 × 34 × 23 = 3.726
25 × 32 × 13 = 3.744
3 × 5 × 11 × 23 = 3.795
33 × 11 × 13 = 3.861
24 × 35 = 3.888
23 × 32 × 5 × 11 = 3.960
24 × 11 × 23 = 4.048
22 × 32 × 5 × 23 = 4.140
22 × 34 × 13 = 4.212
2 × 3 × 5 × 11 × 13 = 4.290
25 × 33 × 5 = 4.320
34 × 5 × 11 = 4.455
3 × 5 × 13 × 23 = 4.485
2 × 32 × 11 × 23 = 4.554
25 × 11 × 13 = 4.576
23 × 32 × 5 × 13 = 4.680
24 × 33 × 11 = 4.752
24 × 13 × 23 = 4.784
22 × 35 × 5 = 4.860
23 × 33 × 23 = 4.968
22 × 5 × 11 × 23 = 5.060
22 × 32 × 11 × 13 = 5.148
34 × 5 × 13 = 5.265
25 × 3 × 5 × 11 = 5.280
2 × 35 × 11 = 5.346
2 × 32 × 13 × 23 = 5.382
24 × 3 × 5 × 23 = 5.520
35 × 23 = 5.589
24 × 33 × 13 = 5.616
23 × 5 × 11 × 13 = 5.720
23 × 36 = 5.832
22 × 33 × 5 × 11 = 5.940
22 × 5 × 13 × 23 = 5.980
23 × 3 × 11 × 23 = 6.072
2 × 33 × 5 × 23 = 6.210
25 × 3 × 5 × 13 = 6.240
2 × 35 × 13 = 6.318
32 × 5 × 11 × 13 = 6.435
24 × 34 × 5 = 6.480
2 × 11 × 13 × 23 = 6.578
25 × 32 × 23 = 6.624
33 × 11 × 23 = 6.831
24 × 3 × 11 × 13 = 6.864
22 × 33 × 5 × 13 = 7.020
23 × 34 × 11 = 7.128
23 × 3 × 13 × 23 = 7.176
2 × 36 × 5 = 7.290
22 × 34 × 23 = 7.452
2 × 3 × 5 × 11 × 23 = 7.590
2 × 33 × 11 × 13 = 7.722
25 × 35 = 7.776
24 × 32 × 5 × 11 = 7.920
36 × 11 = 8.019
33 × 13 × 23 = 8.073
25 × 11 × 23 = 8.096
23 × 32 × 5 × 23 = 8.280
23 × 34 × 13 = 8.424
22 × 3 × 5 × 11 × 13 = 8.580
2 × 34 × 5 × 11 = 8.910
2 × 3 × 5 × 13 × 23 = 8.970
22 × 32 × 11 × 23 = 9.108
34 × 5 × 23 = 9.315
24 × 32 × 5 × 13 = 9.360
36 × 13 = 9.477
25 × 33 × 11 = 9.504
25 × 13 × 23 = 9.568
23 × 35 × 5 = 9.720
3 × 11 × 13 × 23 = 9.867
24 × 33 × 23 = 9.936
23 × 5 × 11 × 23 = 10.120
23 × 32 × 11 × 13 = 10.296
2 × 34 × 5 × 13 = 10.530
22 × 35 × 11 = 10.692
22 × 32 × 13 × 23 = 10.764
25 × 3 × 5 × 23 = 11.040
2 × 35 × 23 = 11.178
25 × 33 × 13 = 11.232
32 × 5 × 11 × 23 = 11.385
24 × 5 × 11 × 13 = 11.440
34 × 11 × 13 = 11.583
24 × 36 = 11.664
23 × 33 × 5 × 11 = 11.880
23 × 5 × 13 × 23 = 11.960
24 × 3 × 11 × 23 = 12.144
22 × 33 × 5 × 23 = 12.420
22 × 35 × 13 = 12.636
2 × 32 × 5 × 11 × 13 = 12.870
25 × 34 × 5 = 12.960
22 × 11 × 13 × 23 = 13.156
35 × 5 × 11 = 13.365
32 × 5 × 13 × 23 = 13.455
2 × 33 × 11 × 23 = 13.662
25 × 3 × 11 × 13 = 13.728
23 × 33 × 5 × 13 = 14.040
24 × 34 × 11 = 14.256
24 × 3 × 13 × 23 = 14.352
22 × 36 × 5 = 14.580
23 × 34 × 23 = 14.904
22 × 3 × 5 × 11 × 23 = 15.180
22 × 33 × 11 × 13 = 15.444
35 × 5 × 13 = 15.795
25 × 32 × 5 × 11 = 15.840
2 × 36 × 11 = 16.038
2 × 33 × 13 × 23 = 16.146
5 × 11 × 13 × 23 = 16.445
24 × 32 × 5 × 23 = 16.560
36 × 23 = 16.767
24 × 34 × 13 = 16.848
23 × 3 × 5 × 11 × 13 = 17.160
22 × 34 × 5 × 11 = 17.820
22 × 3 × 5 × 13 × 23 = 17.940
23 × 32 × 11 × 23 = 18.216
2 × 34 × 5 × 23 = 18.630
25 × 32 × 5 × 13 = 18.720
2 × 36 × 13 = 18.954
33 × 5 × 11 × 13 = 19.305
24 × 35 × 5 = 19.440
Esta lista continúa más abajo...

... Esta lista continúa desde arriba
2 × 3 × 11 × 13 × 23 = 19.734
25 × 33 × 23 = 19.872
24 × 5 × 11 × 23 = 20.240
34 × 11 × 23 = 20.493
24 × 32 × 11 × 13 = 20.592
22 × 34 × 5 × 13 = 21.060
23 × 35 × 11 = 21.384
23 × 32 × 13 × 23 = 21.528
22 × 35 × 23 = 22.356
2 × 32 × 5 × 11 × 23 = 22.770
25 × 5 × 11 × 13 = 22.880
2 × 34 × 11 × 13 = 23.166
25 × 36 = 23.328
24 × 33 × 5 × 11 = 23.760
24 × 5 × 13 × 23 = 23.920
34 × 13 × 23 = 24.219
25 × 3 × 11 × 23 = 24.288
23 × 33 × 5 × 23 = 24.840
23 × 35 × 13 = 25.272
22 × 32 × 5 × 11 × 13 = 25.740
23 × 11 × 13 × 23 = 26.312
2 × 35 × 5 × 11 = 26.730
2 × 32 × 5 × 13 × 23 = 26.910
22 × 33 × 11 × 23 = 27.324
35 × 5 × 23 = 27.945
24 × 33 × 5 × 13 = 28.080
25 × 34 × 11 = 28.512
25 × 3 × 13 × 23 = 28.704
23 × 36 × 5 = 29.160
32 × 11 × 13 × 23 = 29.601
24 × 34 × 23 = 29.808
23 × 3 × 5 × 11 × 23 = 30.360
23 × 33 × 11 × 13 = 30.888
2 × 35 × 5 × 13 = 31.590
22 × 36 × 11 = 32.076
22 × 33 × 13 × 23 = 32.292
2 × 5 × 11 × 13 × 23 = 32.890
25 × 32 × 5 × 23 = 33.120
2 × 36 × 23 = 33.534
25 × 34 × 13 = 33.696
33 × 5 × 11 × 23 = 34.155
24 × 3 × 5 × 11 × 13 = 34.320
35 × 11 × 13 = 34.749
23 × 34 × 5 × 11 = 35.640
23 × 3 × 5 × 13 × 23 = 35.880
24 × 32 × 11 × 23 = 36.432
22 × 34 × 5 × 23 = 37.260
22 × 36 × 13 = 37.908
2 × 33 × 5 × 11 × 13 = 38.610
25 × 35 × 5 = 38.880
22 × 3 × 11 × 13 × 23 = 39.468
36 × 5 × 11 = 40.095
33 × 5 × 13 × 23 = 40.365
25 × 5 × 11 × 23 = 40.480
2 × 34 × 11 × 23 = 40.986
25 × 32 × 11 × 13 = 41.184
23 × 34 × 5 × 13 = 42.120
24 × 35 × 11 = 42.768
24 × 32 × 13 × 23 = 43.056
23 × 35 × 23 = 44.712
22 × 32 × 5 × 11 × 23 = 45.540
22 × 34 × 11 × 13 = 46.332
36 × 5 × 13 = 47.385
25 × 33 × 5 × 11 = 47.520
25 × 5 × 13 × 23 = 47.840
2 × 34 × 13 × 23 = 48.438
3 × 5 × 11 × 13 × 23 = 49.335
24 × 33 × 5 × 23 = 49.680
24 × 35 × 13 = 50.544
23 × 32 × 5 × 11 × 13 = 51.480
24 × 11 × 13 × 23 = 52.624
22 × 35 × 5 × 11 = 53.460
22 × 32 × 5 × 13 × 23 = 53.820
23 × 33 × 11 × 23 = 54.648
2 × 35 × 5 × 23 = 55.890
25 × 33 × 5 × 13 = 56.160
34 × 5 × 11 × 13 = 57.915
24 × 36 × 5 = 58.320
2 × 32 × 11 × 13 × 23 = 59.202
25 × 34 × 23 = 59.616
24 × 3 × 5 × 11 × 23 = 60.720
35 × 11 × 23 = 61.479
24 × 33 × 11 × 13 = 61.776
22 × 35 × 5 × 13 = 63.180
23 × 36 × 11 = 64.152
23 × 33 × 13 × 23 = 64.584
22 × 5 × 11 × 13 × 23 = 65.780
22 × 36 × 23 = 67.068
2 × 33 × 5 × 11 × 23 = 68.310
25 × 3 × 5 × 11 × 13 = 68.640
2 × 35 × 11 × 13 = 69.498
24 × 34 × 5 × 11 = 71.280
24 × 3 × 5 × 13 × 23 = 71.760
35 × 13 × 23 = 72.657
25 × 32 × 11 × 23 = 72.864
23 × 34 × 5 × 23 = 74.520
23 × 36 × 13 = 75.816
22 × 33 × 5 × 11 × 13 = 77.220
23 × 3 × 11 × 13 × 23 = 78.936
2 × 36 × 5 × 11 = 80.190
2 × 33 × 5 × 13 × 23 = 80.730
22 × 34 × 11 × 23 = 81.972
36 × 5 × 23 = 83.835
24 × 34 × 5 × 13 = 84.240
25 × 35 × 11 = 85.536
25 × 32 × 13 × 23 = 86.112
33 × 11 × 13 × 23 = 88.803
24 × 35 × 23 = 89.424
23 × 32 × 5 × 11 × 23 = 91.080
23 × 34 × 11 × 13 = 92.664
2 × 36 × 5 × 13 = 94.770
22 × 34 × 13 × 23 = 96.876
2 × 3 × 5 × 11 × 13 × 23 = 98.670
25 × 33 × 5 × 23 = 99.360
25 × 35 × 13 = 101.088
34 × 5 × 11 × 23 = 102.465
24 × 32 × 5 × 11 × 13 = 102.960
36 × 11 × 13 = 104.247
25 × 11 × 13 × 23 = 105.248
23 × 35 × 5 × 11 = 106.920
23 × 32 × 5 × 13 × 23 = 107.640
24 × 33 × 11 × 23 = 109.296
22 × 35 × 5 × 23 = 111.780
2 × 34 × 5 × 11 × 13 = 115.830
25 × 36 × 5 = 116.640
22 × 32 × 11 × 13 × 23 = 118.404
34 × 5 × 13 × 23 = 121.095
25 × 3 × 5 × 11 × 23 = 121.440
2 × 35 × 11 × 23 = 122.958
25 × 33 × 11 × 13 = 123.552
23 × 35 × 5 × 13 = 126.360
24 × 36 × 11 = 128.304
24 × 33 × 13 × 23 = 129.168
23 × 5 × 11 × 13 × 23 = 131.560
23 × 36 × 23 = 134.136
22 × 33 × 5 × 11 × 23 = 136.620
22 × 35 × 11 × 13 = 138.996
25 × 34 × 5 × 11 = 142.560
25 × 3 × 5 × 13 × 23 = 143.520
2 × 35 × 13 × 23 = 145.314
32 × 5 × 11 × 13 × 23 = 148.005
24 × 34 × 5 × 23 = 149.040
24 × 36 × 13 = 151.632
23 × 33 × 5 × 11 × 13 = 154.440
24 × 3 × 11 × 13 × 23 = 157.872
22 × 36 × 5 × 11 = 160.380
22 × 33 × 5 × 13 × 23 = 161.460
23 × 34 × 11 × 23 = 163.944
2 × 36 × 5 × 23 = 167.670
25 × 34 × 5 × 13 = 168.480
35 × 5 × 11 × 13 = 173.745
2 × 33 × 11 × 13 × 23 = 177.606
25 × 35 × 23 = 178.848
24 × 32 × 5 × 11 × 23 = 182.160
36 × 11 × 23 = 184.437
24 × 34 × 11 × 13 = 185.328
22 × 36 × 5 × 13 = 189.540
23 × 34 × 13 × 23 = 193.752
22 × 3 × 5 × 11 × 13 × 23 = 197.340
2 × 34 × 5 × 11 × 23 = 204.930
25 × 32 × 5 × 11 × 13 = 205.920
2 × 36 × 11 × 13 = 208.494
24 × 35 × 5 × 11 = 213.840
24 × 32 × 5 × 13 × 23 = 215.280
36 × 13 × 23 = 217.971
25 × 33 × 11 × 23 = 218.592
23 × 35 × 5 × 23 = 223.560
22 × 34 × 5 × 11 × 13 = 231.660
23 × 32 × 11 × 13 × 23 = 236.808
2 × 34 × 5 × 13 × 23 = 242.190
22 × 35 × 11 × 23 = 245.916
24 × 35 × 5 × 13 = 252.720
25 × 36 × 11 = 256.608
25 × 33 × 13 × 23 = 258.336
24 × 5 × 11 × 13 × 23 = 263.120
34 × 11 × 13 × 23 = 266.409
24 × 36 × 23 = 268.272
23 × 33 × 5 × 11 × 23 = 273.240
23 × 35 × 11 × 13 = 277.992
22 × 35 × 13 × 23 = 290.628
2 × 32 × 5 × 11 × 13 × 23 = 296.010
25 × 34 × 5 × 23 = 298.080
25 × 36 × 13 = 303.264
35 × 5 × 11 × 23 = 307.395
24 × 33 × 5 × 11 × 13 = 308.880
25 × 3 × 11 × 13 × 23 = 315.744
23 × 36 × 5 × 11 = 320.760
23 × 33 × 5 × 13 × 23 = 322.920
24 × 34 × 11 × 23 = 327.888
22 × 36 × 5 × 23 = 335.340
2 × 35 × 5 × 11 × 13 = 347.490
22 × 33 × 11 × 13 × 23 = 355.212
35 × 5 × 13 × 23 = 363.285
25 × 32 × 5 × 11 × 23 = 364.320
2 × 36 × 11 × 23 = 368.874
25 × 34 × 11 × 13 = 370.656
23 × 36 × 5 × 13 = 379.080
24 × 34 × 13 × 23 = 387.504
23 × 3 × 5 × 11 × 13 × 23 = 394.680
22 × 34 × 5 × 11 × 23 = 409.860
22 × 36 × 11 × 13 = 416.988
25 × 35 × 5 × 11 = 427.680
25 × 32 × 5 × 13 × 23 = 430.560
2 × 36 × 13 × 23 = 435.942
33 × 5 × 11 × 13 × 23 = 444.015
24 × 35 × 5 × 23 = 447.120
23 × 34 × 5 × 11 × 13 = 463.320
24 × 32 × 11 × 13 × 23 = 473.616
22 × 34 × 5 × 13 × 23 = 484.380
23 × 35 × 11 × 23 = 491.832
25 × 35 × 5 × 13 = 505.440
36 × 5 × 11 × 13 = 521.235
25 × 5 × 11 × 13 × 23 = 526.240
2 × 34 × 11 × 13 × 23 = 532.818
25 × 36 × 23 = 536.544
24 × 33 × 5 × 11 × 23 = 546.480
24 × 35 × 11 × 13 = 555.984
23 × 35 × 13 × 23 = 581.256
22 × 32 × 5 × 11 × 13 × 23 = 592.020
2 × 35 × 5 × 11 × 23 = 614.790
25 × 33 × 5 × 11 × 13 = 617.760
24 × 36 × 5 × 11 = 641.520
24 × 33 × 5 × 13 × 23 = 645.840
25 × 34 × 11 × 23 = 655.776
23 × 36 × 5 × 23 = 670.680
22 × 35 × 5 × 11 × 13 = 694.980
23 × 33 × 11 × 13 × 23 = 710.424
2 × 35 × 5 × 13 × 23 = 726.570
22 × 36 × 11 × 23 = 737.748
24 × 36 × 5 × 13 = 758.160
25 × 34 × 13 × 23 = 775.008
24 × 3 × 5 × 11 × 13 × 23 = 789.360
35 × 11 × 13 × 23 = 799.227
23 × 34 × 5 × 11 × 23 = 819.720
23 × 36 × 11 × 13 = 833.976
22 × 36 × 13 × 23 = 871.884
2 × 33 × 5 × 11 × 13 × 23 = 888.030
25 × 35 × 5 × 23 = 894.240
36 × 5 × 11 × 23 = 922.185
24 × 34 × 5 × 11 × 13 = 926.640
25 × 32 × 11 × 13 × 23 = 947.232
23 × 34 × 5 × 13 × 23 = 968.760
24 × 35 × 11 × 23 = 983.664
2 × 36 × 5 × 11 × 13 = 1.042.470
22 × 34 × 11 × 13 × 23 = 1.065.636
36 × 5 × 13 × 23 = 1.089.855
25 × 33 × 5 × 11 × 23 = 1.092.960
25 × 35 × 11 × 13 = 1.111.968
24 × 35 × 13 × 23 = 1.162.512
23 × 32 × 5 × 11 × 13 × 23 = 1.184.040
22 × 35 × 5 × 11 × 23 = 1.229.580
25 × 36 × 5 × 11 = 1.283.040
25 × 33 × 5 × 13 × 23 = 1.291.680
34 × 5 × 11 × 13 × 23 = 1.332.045
24 × 36 × 5 × 23 = 1.341.360
23 × 35 × 5 × 11 × 13 = 1.389.960
24 × 33 × 11 × 13 × 23 = 1.420.848
22 × 35 × 5 × 13 × 23 = 1.453.140
23 × 36 × 11 × 23 = 1.475.496
25 × 36 × 5 × 13 = 1.516.320
25 × 3 × 5 × 11 × 13 × 23 = 1.578.720
2 × 35 × 11 × 13 × 23 = 1.598.454
24 × 34 × 5 × 11 × 23 = 1.639.440
24 × 36 × 11 × 13 = 1.667.952
23 × 36 × 13 × 23 = 1.743.768
22 × 33 × 5 × 11 × 13 × 23 = 1.776.060
2 × 36 × 5 × 11 × 23 = 1.844.370
25 × 34 × 5 × 11 × 13 = 1.853.280
24 × 34 × 5 × 13 × 23 = 1.937.520
25 × 35 × 11 × 23 = 1.967.328
22 × 36 × 5 × 11 × 13 = 2.084.940
23 × 34 × 11 × 13 × 23 = 2.131.272
2 × 36 × 5 × 13 × 23 = 2.179.710
25 × 35 × 13 × 23 = 2.325.024
24 × 32 × 5 × 11 × 13 × 23 = 2.368.080
36 × 11 × 13 × 23 = 2.397.681
23 × 35 × 5 × 11 × 23 = 2.459.160
2 × 34 × 5 × 11 × 13 × 23 = 2.664.090
25 × 36 × 5 × 23 = 2.682.720
24 × 35 × 5 × 11 × 13 = 2.779.920
25 × 33 × 11 × 13 × 23 = 2.841.696
23 × 35 × 5 × 13 × 23 = 2.906.280
24 × 36 × 11 × 23 = 2.950.992
22 × 35 × 11 × 13 × 23 = 3.196.908
25 × 34 × 5 × 11 × 23 = 3.278.880
25 × 36 × 11 × 13 = 3.335.904
24 × 36 × 13 × 23 = 3.487.536
23 × 33 × 5 × 11 × 13 × 23 = 3.552.120
22 × 36 × 5 × 11 × 23 = 3.688.740
25 × 34 × 5 × 13 × 23 = 3.875.040
35 × 5 × 11 × 13 × 23 = 3.996.135
23 × 36 × 5 × 11 × 13 = 4.169.880
24 × 34 × 11 × 13 × 23 = 4.262.544
22 × 36 × 5 × 13 × 23 = 4.359.420
25 × 32 × 5 × 11 × 13 × 23 = 4.736.160
2 × 36 × 11 × 13 × 23 = 4.795.362
24 × 35 × 5 × 11 × 23 = 4.918.320
22 × 34 × 5 × 11 × 13 × 23 = 5.328.180
25 × 35 × 5 × 11 × 13 = 5.559.840
24 × 35 × 5 × 13 × 23 = 5.812.560
25 × 36 × 11 × 23 = 5.901.984
23 × 35 × 11 × 13 × 23 = 6.393.816
25 × 36 × 13 × 23 = 6.975.072
24 × 33 × 5 × 11 × 13 × 23 = 7.104.240
23 × 36 × 5 × 11 × 23 = 7.377.480
2 × 35 × 5 × 11 × 13 × 23 = 7.992.270
24 × 36 × 5 × 11 × 13 = 8.339.760
25 × 34 × 11 × 13 × 23 = 8.525.088
23 × 36 × 5 × 13 × 23 = 8.718.840
22 × 36 × 11 × 13 × 23 = 9.590.724
25 × 35 × 5 × 11 × 23 = 9.836.640
23 × 34 × 5 × 11 × 13 × 23 = 10.656.360
25 × 35 × 5 × 13 × 23 = 11.625.120
36 × 5 × 11 × 13 × 23 = 11.988.405
24 × 35 × 11 × 13 × 23 = 12.787.632
25 × 33 × 5 × 11 × 13 × 23 = 14.208.480
24 × 36 × 5 × 11 × 23 = 14.754.960
22 × 35 × 5 × 11 × 13 × 23 = 15.984.540
25 × 36 × 5 × 11 × 13 = 16.679.520
24 × 36 × 5 × 13 × 23 = 17.437.680
23 × 36 × 11 × 13 × 23 = 19.181.448
24 × 34 × 5 × 11 × 13 × 23 = 21.312.720
2 × 36 × 5 × 11 × 13 × 23 = 23.976.810
25 × 35 × 11 × 13 × 23 = 25.575.264
25 × 36 × 5 × 11 × 23 = 29.509.920
23 × 35 × 5 × 11 × 13 × 23 = 31.969.080
25 × 36 × 5 × 13 × 23 = 34.875.360
24 × 36 × 11 × 13 × 23 = 38.362.896
25 × 34 × 5 × 11 × 13 × 23 = 42.625.440
22 × 36 × 5 × 11 × 13 × 23 = 47.953.620
24 × 35 × 5 × 11 × 13 × 23 = 63.938.160
25 × 36 × 11 × 13 × 23 = 76.725.792
23 × 36 × 5 × 11 × 13 × 23 = 95.907.240
25 × 35 × 5 × 11 × 13 × 23 = 127.876.320
24 × 36 × 5 × 11 × 13 × 23 = 191.814.480
25 × 36 × 5 × 11 × 13 × 23 = 383.628.960

383.628.960 y 0 tienen 672 divisores comunes:
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 13; 15; 16; 18; 20; 22; 23; 24; 26; 27; 30; 32; 33; 36; 39; 40; 44; 45; 46; 48; 52; 54; 55; 60; 65; 66; 69; 72; 78; 80; 81; 88; 90; 92; 96; 99; 104; 108; 110; 115; 117; 120; 130; 132; 135; 138; 143; 144; 156; 160; 162; 165; 176; 180; 184; 195; 198; 207; 208; 216; 220; 230; 234; 240; 243; 253; 260; 264; 270; 276; 286; 288; 297; 299; 312; 324; 330; 345; 351; 352; 360; 368; 390; 396; 405; 414; 416; 429; 432; 440; 460; 468; 480; 486; 495; 506; 520; 528; 540; 552; 572; 585; 594; 598; 621; 624; 648; 660; 690; 702; 715; 720; 729; 736; 759; 780; 792; 810; 828; 858; 864; 880; 891; 897; 920; 936; 972; 990; 1.012; 1.035; 1.040; 1.053; 1.056; 1.080; 1.104; 1.144; 1.170; 1.188; 1.196; 1.215; 1.242; 1.248; 1.265; 1.287; 1.296; 1.320; 1.380; 1.404; 1.430; 1.440; 1.458; 1.485; 1.495; 1.518; 1.560; 1.584; 1.620; 1.656; 1.716; 1.755; 1.760; 1.782; 1.794; 1.840; 1.863; 1.872; 1.944; 1.980; 2.024; 2.070; 2.080; 2.106; 2.145; 2.160; 2.208; 2.277; 2.288; 2.340; 2.376; 2.392; 2.430; 2.484; 2.530; 2.574; 2.592; 2.640; 2.673; 2.691; 2.760; 2.808; 2.860; 2.916; 2.970; 2.990; 3.036; 3.105; 3.120; 3.159; 3.168; 3.240; 3.289; 3.312; 3.432; 3.510; 3.564; 3.588; 3.645; 3.680; 3.726; 3.744; 3.795; 3.861; 3.888; 3.960; 4.048; 4.140; 4.212; 4.290; 4.320; 4.455; 4.485; 4.554; 4.576; 4.680; 4.752; 4.784; 4.860; 4.968; 5.060; 5.148; 5.265; 5.280; 5.346; 5.382; 5.520; 5.589; 5.616; 5.720; 5.832; 5.940; 5.980; 6.072; 6.210; 6.240; 6.318; 6.435; 6.480; 6.578; 6.624; 6.831; 6.864; 7.020; 7.128; 7.176; 7.290; 7.452; 7.590; 7.722; 7.776; 7.920; 8.019; 8.073; 8.096; 8.280; 8.424; 8.580; 8.910; 8.970; 9.108; 9.315; 9.360; 9.477; 9.504; 9.568; 9.720; 9.867; 9.936; 10.120; 10.296; 10.530; 10.692; 10.764; 11.040; 11.178; 11.232; 11.385; 11.440; 11.583; 11.664; 11.880; 11.960; 12.144; 12.420; 12.636; 12.870; 12.960; 13.156; 13.365; 13.455; 13.662; 13.728; 14.040; 14.256; 14.352; 14.580; 14.904; 15.180; 15.444; 15.795; 15.840; 16.038; 16.146; 16.445; 16.560; 16.767; 16.848; 17.160; 17.820; 17.940; 18.216; 18.630; 18.720; 18.954; 19.305; 19.440; 19.734; 19.872; 20.240; 20.493; 20.592; 21.060; 21.384; 21.528; 22.356; 22.770; 22.880; 23.166; 23.328; 23.760; 23.920; 24.219; 24.288; 24.840; 25.272; 25.740; 26.312; 26.730; 26.910; 27.324; 27.945; 28.080; 28.512; 28.704; 29.160; 29.601; 29.808; 30.360; 30.888; 31.590; 32.076; 32.292; 32.890; 33.120; 33.534; 33.696; 34.155; 34.320; 34.749; 35.640; 35.880; 36.432; 37.260; 37.908; 38.610; 38.880; 39.468; 40.095; 40.365; 40.480; 40.986; 41.184; 42.120; 42.768; 43.056; 44.712; 45.540; 46.332; 47.385; 47.520; 47.840; 48.438; 49.335; 49.680; 50.544; 51.480; 52.624; 53.460; 53.820; 54.648; 55.890; 56.160; 57.915; 58.320; 59.202; 59.616; 60.720; 61.479; 61.776; 63.180; 64.152; 64.584; 65.780; 67.068; 68.310; 68.640; 69.498; 71.280; 71.760; 72.657; 72.864; 74.520; 75.816; 77.220; 78.936; 80.190; 80.730; 81.972; 83.835; 84.240; 85.536; 86.112; 88.803; 89.424; 91.080; 92.664; 94.770; 96.876; 98.670; 99.360; 101.088; 102.465; 102.960; 104.247; 105.248; 106.920; 107.640; 109.296; 111.780; 115.830; 116.640; 118.404; 121.095; 121.440; 122.958; 123.552; 126.360; 128.304; 129.168; 131.560; 134.136; 136.620; 138.996; 142.560; 143.520; 145.314; 148.005; 149.040; 151.632; 154.440; 157.872; 160.380; 161.460; 163.944; 167.670; 168.480; 173.745; 177.606; 178.848; 182.160; 184.437; 185.328; 189.540; 193.752; 197.340; 204.930; 205.920; 208.494; 213.840; 215.280; 217.971; 218.592; 223.560; 231.660; 236.808; 242.190; 245.916; 252.720; 256.608; 258.336; 263.120; 266.409; 268.272; 273.240; 277.992; 290.628; 296.010; 298.080; 303.264; 307.395; 308.880; 315.744; 320.760; 322.920; 327.888; 335.340; 347.490; 355.212; 363.285; 364.320; 368.874; 370.656; 379.080; 387.504; 394.680; 409.860; 416.988; 427.680; 430.560; 435.942; 444.015; 447.120; 463.320; 473.616; 484.380; 491.832; 505.440; 521.235; 526.240; 532.818; 536.544; 546.480; 555.984; 581.256; 592.020; 614.790; 617.760; 641.520; 645.840; 655.776; 670.680; 694.980; 710.424; 726.570; 737.748; 758.160; 775.008; 789.360; 799.227; 819.720; 833.976; 871.884; 888.030; 894.240; 922.185; 926.640; 947.232; 968.760; 983.664; 1.042.470; 1.065.636; 1.089.855; 1.092.960; 1.111.968; 1.162.512; 1.184.040; 1.229.580; 1.283.040; 1.291.680; 1.332.045; 1.341.360; 1.389.960; 1.420.848; 1.453.140; 1.475.496; 1.516.320; 1.578.720; 1.598.454; 1.639.440; 1.667.952; 1.743.768; 1.776.060; 1.844.370; 1.853.280; 1.937.520; 1.967.328; 2.084.940; 2.131.272; 2.179.710; 2.325.024; 2.368.080; 2.397.681; 2.459.160; 2.664.090; 2.682.720; 2.779.920; 2.841.696; 2.906.280; 2.950.992; 3.196.908; 3.278.880; 3.335.904; 3.487.536; 3.552.120; 3.688.740; 3.875.040; 3.996.135; 4.169.880; 4.262.544; 4.359.420; 4.736.160; 4.795.362; 4.918.320; 5.328.180; 5.559.840; 5.812.560; 5.901.984; 6.393.816; 6.975.072; 7.104.240; 7.377.480; 7.992.270; 8.339.760; 8.525.088; 8.718.840; 9.590.724; 9.836.640; 10.656.360; 11.625.120; 11.988.405; 12.787.632; 14.208.480; 14.754.960; 15.984.540; 16.679.520; 17.437.680; 19.181.448; 21.312.720; 23.976.810; 25.575.264; 29.509.920; 31.969.080; 34.875.360; 38.362.896; 42.625.440; 47.953.620; 63.938.160; 76.725.792; 95.907.240; 127.876.320; 191.814.480 y 383.628.960
de los cuales 6 factores primos: 2; 3; 5; 11; 13 y 23

Otras operaciones similares a los divisores comunes:

» ¿Cuáles son todos los divisores comunes (y los factores primos) de los números 383.628.920 y 22?

» Nuevo: Todos los cálculos realizados por nuestros visitantes: Divisores comunes de números. Datos organizados mensualmente

» Mes 04, 2025 [Abril]: Divisores comunes de números: Cálculos Mensuales realizados durante el mes de: Abril - por nuestros visitantes

Divisores, divisores comunes, el máximo común divisor, MCD

  • Si el número "t" es un divisor del número "a", entonces en la descomposición en factores primos de "t" solo encontraremos factores primos que también ocurren en la descomposición en factores primos de "a".
  • Si hay exponentes involucrados, el valor máximo de un exponente para cualquier base de una potencia que se encuentra en la descomposición en factores primos de "t" es como máximo igual al exponente de la misma base que está involucrado en la descomposición en factores primos de "a".
  • Nota: 23 = 2 × 2 × 2 = 8. Decimos que 2 fue elevado a la potencia de 3, o más simple, 2 elevado a 3. En este ejemplo, 3 es el exponente y 2 es la base. El exponente indica cuántas veces se multiplica la base por sí misma. 23 es la potencia y 8 es el valor de la potencia.
  • Por ejemplo, 12 es un divisor de 120 - el resto es cero al dividir 120 por 12.
  • Miremos la descomposición en factores primos de ambos números y observemos las bases y los exponentes de los factores primos que ocurren en la descomposición en factores primos de ambos números:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contiene todos los factores primos de 12, y todos los exponentes de sus bases son mayores que los de 12.
  • Si "t" es un divisor común de "a" y "b", entonces la descomposición en factores primos de "t" contiene solo los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b".
  • Si hay exponentes involucrados: el valor máximo de un exponente de cualquier base de una potencia que se encuentra en la factorización prima del número "t" - es como máximo igual al mínimo de los exponentes de la misma base que ocurre en el descomposición en factores primos de los números "a" y "b".
  • Por ejemplo, 12 es el divisor común de 48 y 360.
  • El resto es cero al dividir 48 o 360 por 12.
  • Aquí están las descomposición en factores primos de los tres números, 12, 48 y 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Ten en cuenta que 48 y 360 tienen más divisores: 2, 3, 4, 6, 8, 12, 24. Entre ellos, 24 es el máximo común divisor, mcd, de 48 y 360.
  • El máximo común divisor, mcd, de dos números, "a" y "b", es el producto de todos los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b", tomados por los exponentes más bajos.
  • Con base en esta regla, se calcula el máximo común divisor, mcd, de varios números, como se muestra en el siguiente ejemplo...
  • mcd (1.260; 3.024; 5.544) = ?
  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Los factores primos comunes son:
  • 2 - su exponente más bajo es: min. (2; 3; 4) = 2
  • 3 - su exponente más bajo es: min. (2; 2; 2) = 2
  • mcd (1.260; 3.024; 5.544) = 22 × 32 = 252
  • Números que son primos entre sí (coprimos, primos relativos):
  • Si dos números "a" y "b" no tienen más divisores comunes que 1, mcd (a; b) = 1, entonces los números "a" y "b" se llaman primos entre sí (coprimos, primos relativos).
  • Divisores del MCD
  • Si "a" y "b" no son primos entre sí, entonces todo divisor común de "a" y "b" es también un divisor del máximo común divisor, mcd, de "a" y "b".