What is the Greatest Common Factor of 57312 and 57320?

Greatest common factor (GCF) of 57312 and 57320 is 8.

GCF(57312,57320) = 8

We will now calculate the prime factors of 57312 and 57320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57312 and 57320.

How to find the GCF of 57312 and 57320?

We will first find the prime factorization of 57312 and 57320. After we will calculate the factors of 57312 and 57320 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 57320

Prime factors of 57320 are 2, 5, 1433. Prime factorization of 57320 in exponential form is:

57320 = 2³ × 5¹ × 1433¹

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 57320

List of positive integer factors of 57320 that divides 57312 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1433, 2866, 5732, 7165, 11464, 14330, 28660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57312 and 57320. The biggest common factor number is the GCF number.
So the greatest common factor 57312 and 57320 is 8.

Also check out the Least Common Multiple of 57312 and 57320