What is the Greatest Common Factor of 57264 and 57276?

Greatest common factor (GCF) of 57264 and 57276 is 12.

GCF(57264,57276) = 12

We will now calculate the prime factors of 57264 and 57276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57264 and 57276.

How to find the GCF of 57264 and 57276?

We will first find the prime factorization of 57264 and 57276. After we will calculate the factors of 57264 and 57276 and find the biggest common factor number .

Step-1: Prime Factorization of 57264

Prime factors of 57264 are 2, 3, 1193. Prime factorization of 57264 in exponential form is:

57264 = 2⁴ × 3¹ × 1193¹

Step-2: Prime Factorization of 57276

Prime factors of 57276 are 2, 3, 37, 43. Prime factorization of 57276 in exponential form is:

57276 = 2² × 3² × 37¹ × 43¹

Step-3: Factors of 57264

List of positive integer factors of 57264 that divides 57264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1193, 2386, 3579, 4772, 7158, 9544, 14316, 19088, 28632

Step-4: Factors of 57276

List of positive integer factors of 57276 that divides 57264 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 43, 74, 86, 111, 129, 148, 172, 222, 258, 333, 387, 444, 516, 666, 774, 1332, 1548, 1591, 3182, 4773, 6364, 9546, 14319, 19092, 28638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57264 and 57276. The biggest common factor number is the GCF number.
So the greatest common factor 57264 and 57276 is 12.

Also check out the Least Common Multiple of 57264 and 57276