What is the Greatest Common Factor of 57312 and 57324?

Greatest common factor (GCF) of 57312 and 57324 is 12.

GCF(57312,57324) = 12

We will now calculate the prime factors of 57312 and 57324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57312 and 57324.

How to find the GCF of 57312 and 57324?

We will first find the prime factorization of 57312 and 57324. After we will calculate the factors of 57312 and 57324 and find the biggest common factor number .

Step-1: Prime Factorization of 57312

Prime factors of 57312 are 2, 3, 199. Prime factorization of 57312 in exponential form is:

57312 = 2⁵ × 3² × 199¹

Step-2: Prime Factorization of 57324

Prime factors of 57324 are 2, 3, 17, 281. Prime factorization of 57324 in exponential form is:

57324 = 2² × 3¹ × 17¹ × 281¹

Step-3: Factors of 57312

List of positive integer factors of 57312 that divides 57312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 199, 288, 398, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 6368, 7164, 9552, 14328, 19104, 28656

Step-4: Factors of 57324

List of positive integer factors of 57324 that divides 57312 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 281, 562, 843, 1124, 1686, 3372, 4777, 9554, 14331, 19108, 28662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57312 and 57324. The biggest common factor number is the GCF number.
So the greatest common factor 57312 and 57324 is 12.

Also check out the Least Common Multiple of 57312 and 57324