Given the Numbers 134,026,200 and 0, Calculate (Find) All the Common Factors (All the Divisors) of the Two Numbers (and the Prime Factors)

The common factors (divisors) of the numbers 134,026,200 and 0

The common factors (divisors) of the numbers 134,026,200 and 0 are all the factors of their 'greatest (highest) common factor (divisor)', gcf.

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Zero is divisible by any number other than zero (there is no remainder when dividing zero by these numbers).

The greatest factor (divisor) of the number 134,026,200 is the number itself.


⇒ gcf, hcf, gcd (134,026,200; 0) = 134,026,200




To find all the factors (all the divisors) of the 'gcf', we need its prime factorization (to decompose it into prime factors).

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


134,026,200 = 23 × 32 × 52 × 7 × 11 × 967
134,026,200 is not a prime number but a composite one.



* Prime number: a natural number that is divisible only by 1 and itself. A prime number has exactly two factors: 1 and itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.



Multiply the prime factors of the 'gcf':

Multiply the prime factors involved in the prime factorization of the GCF in all their unique combinations, that give different results.


Also consider the exponents of the prime factors (example: 32 = 3 × 3 = 9).


Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
prime factor = 5
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
52 = 25
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
2 × 52 = 50
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
2 × 3 × 11 = 66
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
7 × 11 = 77
22 × 3 × 7 = 84
23 × 11 = 88
2 × 32 × 5 = 90
32 × 11 = 99
22 × 52 = 100
3 × 5 × 7 = 105
2 × 5 × 11 = 110
23 × 3 × 5 = 120
2 × 32 × 7 = 126
22 × 3 × 11 = 132
22 × 5 × 7 = 140
2 × 3 × 52 = 150
2 × 7 × 11 = 154
3 × 5 × 11 = 165
23 × 3 × 7 = 168
52 × 7 = 175
22 × 32 × 5 = 180
2 × 32 × 11 = 198
23 × 52 = 200
2 × 3 × 5 × 7 = 210
22 × 5 × 11 = 220
32 × 52 = 225
3 × 7 × 11 = 231
22 × 32 × 7 = 252
23 × 3 × 11 = 264
52 × 11 = 275
23 × 5 × 7 = 280
22 × 3 × 52 = 300
22 × 7 × 11 = 308
32 × 5 × 7 = 315
2 × 3 × 5 × 11 = 330
2 × 52 × 7 = 350
23 × 32 × 5 = 360
5 × 7 × 11 = 385
22 × 32 × 11 = 396
22 × 3 × 5 × 7 = 420
23 × 5 × 11 = 440
2 × 32 × 52 = 450
2 × 3 × 7 × 11 = 462
32 × 5 × 11 = 495
23 × 32 × 7 = 504
3 × 52 × 7 = 525
2 × 52 × 11 = 550
23 × 3 × 52 = 600
23 × 7 × 11 = 616
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
32 × 7 × 11 = 693
22 × 52 × 7 = 700
2 × 5 × 7 × 11 = 770
23 × 32 × 11 = 792
3 × 52 × 11 = 825
23 × 3 × 5 × 7 = 840
22 × 32 × 52 = 900
22 × 3 × 7 × 11 = 924
prime factor = 967
2 × 32 × 5 × 11 = 990
2 × 3 × 52 × 7 = 1,050
22 × 52 × 11 = 1,100
3 × 5 × 7 × 11 = 1,155
22 × 32 × 5 × 7 = 1,260
23 × 3 × 5 × 11 = 1,320
2 × 32 × 7 × 11 = 1,386
23 × 52 × 7 = 1,400
22 × 5 × 7 × 11 = 1,540
32 × 52 × 7 = 1,575
2 × 3 × 52 × 11 = 1,650
23 × 32 × 52 = 1,800
23 × 3 × 7 × 11 = 1,848
52 × 7 × 11 = 1,925
2 × 967 = 1,934
22 × 32 × 5 × 11 = 1,980
22 × 3 × 52 × 7 = 2,100
23 × 52 × 11 = 2,200
2 × 3 × 5 × 7 × 11 = 2,310
32 × 52 × 11 = 2,475
23 × 32 × 5 × 7 = 2,520
22 × 32 × 7 × 11 = 2,772
3 × 967 = 2,901
23 × 5 × 7 × 11 = 3,080
2 × 32 × 52 × 7 = 3,150
22 × 3 × 52 × 11 = 3,300
32 × 5 × 7 × 11 = 3,465
2 × 52 × 7 × 11 = 3,850
22 × 967 = 3,868
23 × 32 × 5 × 11 = 3,960
23 × 3 × 52 × 7 = 4,200
22 × 3 × 5 × 7 × 11 = 4,620
5 × 967 = 4,835
2 × 32 × 52 × 11 = 4,950
23 × 32 × 7 × 11 = 5,544
3 × 52 × 7 × 11 = 5,775
2 × 3 × 967 = 5,802
22 × 32 × 52 × 7 = 6,300
23 × 3 × 52 × 11 = 6,600
7 × 967 = 6,769
2 × 32 × 5 × 7 × 11 = 6,930
22 × 52 × 7 × 11 = 7,700
23 × 967 = 7,736
32 × 967 = 8,703
23 × 3 × 5 × 7 × 11 = 9,240
2 × 5 × 967 = 9,670
22 × 32 × 52 × 11 = 9,900
11 × 967 = 10,637
2 × 3 × 52 × 7 × 11 = 11,550
This list continues below...

... This list continues from above
22 × 3 × 967 = 11,604
23 × 32 × 52 × 7 = 12,600
2 × 7 × 967 = 13,538
22 × 32 × 5 × 7 × 11 = 13,860
3 × 5 × 967 = 14,505
23 × 52 × 7 × 11 = 15,400
32 × 52 × 7 × 11 = 17,325
2 × 32 × 967 = 17,406
22 × 5 × 967 = 19,340
23 × 32 × 52 × 11 = 19,800
3 × 7 × 967 = 20,307
2 × 11 × 967 = 21,274
22 × 3 × 52 × 7 × 11 = 23,100
23 × 3 × 967 = 23,208
52 × 967 = 24,175
22 × 7 × 967 = 27,076
23 × 32 × 5 × 7 × 11 = 27,720
2 × 3 × 5 × 967 = 29,010
3 × 11 × 967 = 31,911
5 × 7 × 967 = 33,845
2 × 32 × 52 × 7 × 11 = 34,650
22 × 32 × 967 = 34,812
23 × 5 × 967 = 38,680
2 × 3 × 7 × 967 = 40,614
22 × 11 × 967 = 42,548
32 × 5 × 967 = 43,515
23 × 3 × 52 × 7 × 11 = 46,200
2 × 52 × 967 = 48,350
5 × 11 × 967 = 53,185
23 × 7 × 967 = 54,152
22 × 3 × 5 × 967 = 58,020
32 × 7 × 967 = 60,921
2 × 3 × 11 × 967 = 63,822
2 × 5 × 7 × 967 = 67,690
22 × 32 × 52 × 7 × 11 = 69,300
23 × 32 × 967 = 69,624
3 × 52 × 967 = 72,525
7 × 11 × 967 = 74,459
22 × 3 × 7 × 967 = 81,228
23 × 11 × 967 = 85,096
2 × 32 × 5 × 967 = 87,030
32 × 11 × 967 = 95,733
22 × 52 × 967 = 96,700
3 × 5 × 7 × 967 = 101,535
2 × 5 × 11 × 967 = 106,370
23 × 3 × 5 × 967 = 116,040
2 × 32 × 7 × 967 = 121,842
22 × 3 × 11 × 967 = 127,644
22 × 5 × 7 × 967 = 135,380
23 × 32 × 52 × 7 × 11 = 138,600
2 × 3 × 52 × 967 = 145,050
2 × 7 × 11 × 967 = 148,918
3 × 5 × 11 × 967 = 159,555
23 × 3 × 7 × 967 = 162,456
52 × 7 × 967 = 169,225
22 × 32 × 5 × 967 = 174,060
2 × 32 × 11 × 967 = 191,466
23 × 52 × 967 = 193,400
2 × 3 × 5 × 7 × 967 = 203,070
22 × 5 × 11 × 967 = 212,740
32 × 52 × 967 = 217,575
3 × 7 × 11 × 967 = 223,377
22 × 32 × 7 × 967 = 243,684
23 × 3 × 11 × 967 = 255,288
52 × 11 × 967 = 265,925
23 × 5 × 7 × 967 = 270,760
22 × 3 × 52 × 967 = 290,100
22 × 7 × 11 × 967 = 297,836
32 × 5 × 7 × 967 = 304,605
2 × 3 × 5 × 11 × 967 = 319,110
2 × 52 × 7 × 967 = 338,450
23 × 32 × 5 × 967 = 348,120
5 × 7 × 11 × 967 = 372,295
22 × 32 × 11 × 967 = 382,932
22 × 3 × 5 × 7 × 967 = 406,140
23 × 5 × 11 × 967 = 425,480
2 × 32 × 52 × 967 = 435,150
2 × 3 × 7 × 11 × 967 = 446,754
32 × 5 × 11 × 967 = 478,665
23 × 32 × 7 × 967 = 487,368
3 × 52 × 7 × 967 = 507,675
2 × 52 × 11 × 967 = 531,850
23 × 3 × 52 × 967 = 580,200
23 × 7 × 11 × 967 = 595,672
2 × 32 × 5 × 7 × 967 = 609,210
22 × 3 × 5 × 11 × 967 = 638,220
32 × 7 × 11 × 967 = 670,131
22 × 52 × 7 × 967 = 676,900
2 × 5 × 7 × 11 × 967 = 744,590
23 × 32 × 11 × 967 = 765,864
3 × 52 × 11 × 967 = 797,775
23 × 3 × 5 × 7 × 967 = 812,280
22 × 32 × 52 × 967 = 870,300
22 × 3 × 7 × 11 × 967 = 893,508
2 × 32 × 5 × 11 × 967 = 957,330
2 × 3 × 52 × 7 × 967 = 1,015,350
22 × 52 × 11 × 967 = 1,063,700
3 × 5 × 7 × 11 × 967 = 1,116,885
22 × 32 × 5 × 7 × 967 = 1,218,420
23 × 3 × 5 × 11 × 967 = 1,276,440
2 × 32 × 7 × 11 × 967 = 1,340,262
23 × 52 × 7 × 967 = 1,353,800
22 × 5 × 7 × 11 × 967 = 1,489,180
32 × 52 × 7 × 967 = 1,523,025
2 × 3 × 52 × 11 × 967 = 1,595,550
23 × 32 × 52 × 967 = 1,740,600
23 × 3 × 7 × 11 × 967 = 1,787,016
52 × 7 × 11 × 967 = 1,861,475
22 × 32 × 5 × 11 × 967 = 1,914,660
22 × 3 × 52 × 7 × 967 = 2,030,700
23 × 52 × 11 × 967 = 2,127,400
2 × 3 × 5 × 7 × 11 × 967 = 2,233,770
32 × 52 × 11 × 967 = 2,393,325
23 × 32 × 5 × 7 × 967 = 2,436,840
22 × 32 × 7 × 11 × 967 = 2,680,524
23 × 5 × 7 × 11 × 967 = 2,978,360
2 × 32 × 52 × 7 × 967 = 3,046,050
22 × 3 × 52 × 11 × 967 = 3,191,100
32 × 5 × 7 × 11 × 967 = 3,350,655
2 × 52 × 7 × 11 × 967 = 3,722,950
23 × 32 × 5 × 11 × 967 = 3,829,320
23 × 3 × 52 × 7 × 967 = 4,061,400
22 × 3 × 5 × 7 × 11 × 967 = 4,467,540
2 × 32 × 52 × 11 × 967 = 4,786,650
23 × 32 × 7 × 11 × 967 = 5,361,048
3 × 52 × 7 × 11 × 967 = 5,584,425
22 × 32 × 52 × 7 × 967 = 6,092,100
23 × 3 × 52 × 11 × 967 = 6,382,200
2 × 32 × 5 × 7 × 11 × 967 = 6,701,310
22 × 52 × 7 × 11 × 967 = 7,445,900
23 × 3 × 5 × 7 × 11 × 967 = 8,935,080
22 × 32 × 52 × 11 × 967 = 9,573,300
2 × 3 × 52 × 7 × 11 × 967 = 11,168,850
23 × 32 × 52 × 7 × 967 = 12,184,200
22 × 32 × 5 × 7 × 11 × 967 = 13,402,620
23 × 52 × 7 × 11 × 967 = 14,891,800
32 × 52 × 7 × 11 × 967 = 16,753,275
23 × 32 × 52 × 11 × 967 = 19,146,600
22 × 3 × 52 × 7 × 11 × 967 = 22,337,700
23 × 32 × 5 × 7 × 11 × 967 = 26,805,240
2 × 32 × 52 × 7 × 11 × 967 = 33,506,550
23 × 3 × 52 × 7 × 11 × 967 = 44,675,400
22 × 32 × 52 × 7 × 11 × 967 = 67,013,100
23 × 32 × 52 × 7 × 11 × 967 = 134,026,200

134,026,200 and 0 have 288 common factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 14; 15; 18; 20; 21; 22; 24; 25; 28; 30; 33; 35; 36; 40; 42; 44; 45; 50; 55; 56; 60; 63; 66; 70; 72; 75; 77; 84; 88; 90; 99; 100; 105; 110; 120; 126; 132; 140; 150; 154; 165; 168; 175; 180; 198; 200; 210; 220; 225; 231; 252; 264; 275; 280; 300; 308; 315; 330; 350; 360; 385; 396; 420; 440; 450; 462; 495; 504; 525; 550; 600; 616; 630; 660; 693; 700; 770; 792; 825; 840; 900; 924; 967; 990; 1,050; 1,100; 1,155; 1,260; 1,320; 1,386; 1,400; 1,540; 1,575; 1,650; 1,800; 1,848; 1,925; 1,934; 1,980; 2,100; 2,200; 2,310; 2,475; 2,520; 2,772; 2,901; 3,080; 3,150; 3,300; 3,465; 3,850; 3,868; 3,960; 4,200; 4,620; 4,835; 4,950; 5,544; 5,775; 5,802; 6,300; 6,600; 6,769; 6,930; 7,700; 7,736; 8,703; 9,240; 9,670; 9,900; 10,637; 11,550; 11,604; 12,600; 13,538; 13,860; 14,505; 15,400; 17,325; 17,406; 19,340; 19,800; 20,307; 21,274; 23,100; 23,208; 24,175; 27,076; 27,720; 29,010; 31,911; 33,845; 34,650; 34,812; 38,680; 40,614; 42,548; 43,515; 46,200; 48,350; 53,185; 54,152; 58,020; 60,921; 63,822; 67,690; 69,300; 69,624; 72,525; 74,459; 81,228; 85,096; 87,030; 95,733; 96,700; 101,535; 106,370; 116,040; 121,842; 127,644; 135,380; 138,600; 145,050; 148,918; 159,555; 162,456; 169,225; 174,060; 191,466; 193,400; 203,070; 212,740; 217,575; 223,377; 243,684; 255,288; 265,925; 270,760; 290,100; 297,836; 304,605; 319,110; 338,450; 348,120; 372,295; 382,932; 406,140; 425,480; 435,150; 446,754; 478,665; 487,368; 507,675; 531,850; 580,200; 595,672; 609,210; 638,220; 670,131; 676,900; 744,590; 765,864; 797,775; 812,280; 870,300; 893,508; 957,330; 1,015,350; 1,063,700; 1,116,885; 1,218,420; 1,276,440; 1,340,262; 1,353,800; 1,489,180; 1,523,025; 1,595,550; 1,740,600; 1,787,016; 1,861,475; 1,914,660; 2,030,700; 2,127,400; 2,233,770; 2,393,325; 2,436,840; 2,680,524; 2,978,360; 3,046,050; 3,191,100; 3,350,655; 3,722,950; 3,829,320; 4,061,400; 4,467,540; 4,786,650; 5,361,048; 5,584,425; 6,092,100; 6,382,200; 6,701,310; 7,445,900; 8,935,080; 9,573,300; 11,168,850; 12,184,200; 13,402,620; 14,891,800; 16,753,275; 19,146,600; 22,337,700; 26,805,240; 33,506,550; 44,675,400; 67,013,100 and 134,026,200
out of which 6 prime factors: 2; 3; 5; 7; 11 and 967

Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

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The list of all the calculated factors (divisors) of one or two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".