What is the Greatest Common Factor of 57312 and 57316?

Greatest common factor (GCF) of 57312 and 57316 is 4.

GCF(57312,57316) = 4

We will now calculate the prime factors of 57312 and 57316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57312 and 57316.

How to find the GCF of 57312 and 57316?

We will first find the prime factorization of 57312 and 57316. After we will calculate the factors of 57312 and 57316 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 57316

Prime factors of 57316 are 2, 7, 23, 89. Prime factorization of 57316 in exponential form is:

57316 = 2² × 7¹ × 23¹ × 89¹

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 57316

List of positive integer factors of 57316 that divides 57312 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 89, 92, 161, 178, 322, 356, 623, 644, 1246, 2047, 2492, 4094, 8188, 14329, 28658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57312 and 57316. The biggest common factor number is the GCF number.
So the greatest common factor 57312 and 57316 is 4.

Also check out the Least Common Multiple of 57312 and 57316