Given the Numbers 24,516,800 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 24,516,800 and 0

The common factors (divisors) of the numbers 24,516,800 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 24,516,800 is the number itself.


⇒ gcf, hcf, gcd (24,516,800; 0) = 24,516,800




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.


24,516,800 = 26 × 52 × 7 × 11 × 199
24,516,800 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
22 = 4
prime factor = 5
prime factor = 7
23 = 8
2 × 5 = 10
prime factor = 11
2 × 7 = 14
24 = 16
22 × 5 = 20
2 × 11 = 22
52 = 25
22 × 7 = 28
25 = 32
5 × 7 = 35
23 × 5 = 40
22 × 11 = 44
2 × 52 = 50
5 × 11 = 55
23 × 7 = 56
26 = 64
2 × 5 × 7 = 70
7 × 11 = 77
24 × 5 = 80
23 × 11 = 88
22 × 52 = 100
2 × 5 × 11 = 110
24 × 7 = 112
22 × 5 × 7 = 140
2 × 7 × 11 = 154
25 × 5 = 160
52 × 7 = 175
24 × 11 = 176
prime factor = 199
23 × 52 = 200
22 × 5 × 11 = 220
25 × 7 = 224
52 × 11 = 275
23 × 5 × 7 = 280
22 × 7 × 11 = 308
26 × 5 = 320
2 × 52 × 7 = 350
25 × 11 = 352
5 × 7 × 11 = 385
2 × 199 = 398
24 × 52 = 400
23 × 5 × 11 = 440
26 × 7 = 448
2 × 52 × 11 = 550
24 × 5 × 7 = 560
23 × 7 × 11 = 616
22 × 52 × 7 = 700
26 × 11 = 704
2 × 5 × 7 × 11 = 770
22 × 199 = 796
25 × 52 = 800
24 × 5 × 11 = 880
5 × 199 = 995
22 × 52 × 11 = 1,100
25 × 5 × 7 = 1,120
24 × 7 × 11 = 1,232
7 × 199 = 1,393
23 × 52 × 7 = 1,400
22 × 5 × 7 × 11 = 1,540
23 × 199 = 1,592
26 × 52 = 1,600
25 × 5 × 11 = 1,760
52 × 7 × 11 = 1,925
2 × 5 × 199 = 1,990
11 × 199 = 2,189
23 × 52 × 11 = 2,200
26 × 5 × 7 = 2,240
25 × 7 × 11 = 2,464
2 × 7 × 199 = 2,786
24 × 52 × 7 = 2,800
23 × 5 × 7 × 11 = 3,080
24 × 199 = 3,184
26 × 5 × 11 = 3,520
2 × 52 × 7 × 11 = 3,850
22 × 5 × 199 = 3,980
2 × 11 × 199 = 4,378
24 × 52 × 11 = 4,400
26 × 7 × 11 = 4,928
This list continues below...

... This list continues from above
52 × 199 = 4,975
22 × 7 × 199 = 5,572
25 × 52 × 7 = 5,600
24 × 5 × 7 × 11 = 6,160
25 × 199 = 6,368
5 × 7 × 199 = 6,965
22 × 52 × 7 × 11 = 7,700
23 × 5 × 199 = 7,960
22 × 11 × 199 = 8,756
25 × 52 × 11 = 8,800
2 × 52 × 199 = 9,950
5 × 11 × 199 = 10,945
23 × 7 × 199 = 11,144
26 × 52 × 7 = 11,200
25 × 5 × 7 × 11 = 12,320
26 × 199 = 12,736
2 × 5 × 7 × 199 = 13,930
7 × 11 × 199 = 15,323
23 × 52 × 7 × 11 = 15,400
24 × 5 × 199 = 15,920
23 × 11 × 199 = 17,512
26 × 52 × 11 = 17,600
22 × 52 × 199 = 19,900
2 × 5 × 11 × 199 = 21,890
24 × 7 × 199 = 22,288
26 × 5 × 7 × 11 = 24,640
22 × 5 × 7 × 199 = 27,860
2 × 7 × 11 × 199 = 30,646
24 × 52 × 7 × 11 = 30,800
25 × 5 × 199 = 31,840
52 × 7 × 199 = 34,825
24 × 11 × 199 = 35,024
23 × 52 × 199 = 39,800
22 × 5 × 11 × 199 = 43,780
25 × 7 × 199 = 44,576
52 × 11 × 199 = 54,725
23 × 5 × 7 × 199 = 55,720
22 × 7 × 11 × 199 = 61,292
25 × 52 × 7 × 11 = 61,600
26 × 5 × 199 = 63,680
2 × 52 × 7 × 199 = 69,650
25 × 11 × 199 = 70,048
5 × 7 × 11 × 199 = 76,615
24 × 52 × 199 = 79,600
23 × 5 × 11 × 199 = 87,560
26 × 7 × 199 = 89,152
2 × 52 × 11 × 199 = 109,450
24 × 5 × 7 × 199 = 111,440
23 × 7 × 11 × 199 = 122,584
26 × 52 × 7 × 11 = 123,200
22 × 52 × 7 × 199 = 139,300
26 × 11 × 199 = 140,096
2 × 5 × 7 × 11 × 199 = 153,230
25 × 52 × 199 = 159,200
24 × 5 × 11 × 199 = 175,120
22 × 52 × 11 × 199 = 218,900
25 × 5 × 7 × 199 = 222,880
24 × 7 × 11 × 199 = 245,168
23 × 52 × 7 × 199 = 278,600
22 × 5 × 7 × 11 × 199 = 306,460
26 × 52 × 199 = 318,400
25 × 5 × 11 × 199 = 350,240
52 × 7 × 11 × 199 = 383,075
23 × 52 × 11 × 199 = 437,800
26 × 5 × 7 × 199 = 445,760
25 × 7 × 11 × 199 = 490,336
24 × 52 × 7 × 199 = 557,200
23 × 5 × 7 × 11 × 199 = 612,920
26 × 5 × 11 × 199 = 700,480
2 × 52 × 7 × 11 × 199 = 766,150
24 × 52 × 11 × 199 = 875,600
26 × 7 × 11 × 199 = 980,672
25 × 52 × 7 × 199 = 1,114,400
24 × 5 × 7 × 11 × 199 = 1,225,840
22 × 52 × 7 × 11 × 199 = 1,532,300
25 × 52 × 11 × 199 = 1,751,200
26 × 52 × 7 × 199 = 2,228,800
25 × 5 × 7 × 11 × 199 = 2,451,680
23 × 52 × 7 × 11 × 199 = 3,064,600
26 × 52 × 11 × 199 = 3,502,400
26 × 5 × 7 × 11 × 199 = 4,903,360
24 × 52 × 7 × 11 × 199 = 6,129,200
25 × 52 × 7 × 11 × 199 = 12,258,400
26 × 52 × 7 × 11 × 199 = 24,516,800

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".