What is the Greatest Common Factor of 25596 and 25608?

Greatest common factor (GCF) of 25596 and 25608 is 12.

GCF(25596,25608) = 12

We will now calculate the prime factors of 25596 and 25608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25596 and 25608.

How to find the GCF of 25596 and 25608?

We will first find the prime factorization of 25596 and 25608. After we will calculate the factors of 25596 and 25608 and find the biggest common factor number .

Step-1: Prime Factorization of 25596

Prime factors of 25596 are 2, 3, 79. Prime factorization of 25596 in exponential form is:

25596 = 2² × 3⁴ × 79¹

Step-2: Prime Factorization of 25608

Prime factors of 25608 are 2, 3, 11, 97. Prime factorization of 25608 in exponential form is:

25608 = 2³ × 3¹ × 11¹ × 97¹

Step-3: Factors of 25596

List of positive integer factors of 25596 that divides 25596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 81, 108, 158, 162, 237, 316, 324, 474, 711, 948, 1422, 2133, 2844, 4266, 6399, 8532, 12798

Step-4: Factors of 25608

List of positive integer factors of 25608 that divides 25596 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 97, 132, 194, 264, 291, 388, 582, 776, 1067, 1164, 2134, 2328, 3201, 4268, 6402, 8536, 12804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25596 and 25608. The biggest common factor number is the GCF number.
So the greatest common factor 25596 and 25608 is 12.

Also check out the Least Common Multiple of 25596 and 25608