What is the Greatest Common Factor of 57312 and 57319?

Greatest common factor (GCF) of 57312 and 57319 is 1.

GCF(57312,57319) = 1

We will now calculate the prime factors of 57312 and 57319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57312 and 57319.

How to find the GCF of 57312 and 57319?

We will first find the prime factorization of 57312 and 57319. After we will calculate the factors of 57312 and 57319 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 57319

Prime factors of 57319 are 31, 43. Prime factorization of 57319 in exponential form is:

57319 = 31¹ × 43²

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 57319

List of positive integer factors of 57319 that divides 57312 without a remainder.

1, 31, 43, 1333, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57312 and 57319. The biggest common factor number is the GCF number.
So the greatest common factor 57312 and 57319 is 1.

Also check out the Least Common Multiple of 57312 and 57319