What is the Greatest Common Factor of 57297 and 57312?

Greatest common factor (GCF) of 57297 and 57312 is 3.

GCF(57297,57312) = 3

We will now calculate the prime factors of 57297 and 57312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57297 and 57312.

How to find the GCF of 57297 and 57312?

We will first find the prime factorization of 57297 and 57312. After we will calculate the factors of 57297 and 57312 and find the biggest common factor number .

Step-1: Prime Factorization of 57297

Prime factors of 57297 are 3, 71, 269. Prime factorization of 57297 in exponential form is:

57297 = 3¹ × 71¹ × 269¹

Step-2: 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-3: Factors of 57297

List of positive integer factors of 57297 that divides 57297 without a remainder.

1, 3, 71, 213, 269, 807, 19099

Step-4: Factors of 57312

List of positive integer factors of 57312 that divides 57297 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57297 and 57312. The biggest common factor number is the GCF number.
So the greatest common factor 57297 and 57312 is 3.

Also check out the Least Common Multiple of 57297 and 57312