What is the Greatest Common Factor of 57300 and 57312?

Greatest common factor (GCF) of 57300 and 57312 is 12.

GCF(57300,57312) = 12

We will now calculate the prime factors of 57300 and 57312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57300 and 57312.

How to find the GCF of 57300 and 57312?

We will first find the prime factorization of 57300 and 57312. After we will calculate the factors of 57300 and 57312 and find the biggest common factor number .

Step-1: Prime Factorization of 57300

Prime factors of 57300 are 2, 3, 5, 191. Prime factorization of 57300 in exponential form is:

57300 = 2² × 3¹ × 5² × 191¹

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 57300

List of positive integer factors of 57300 that divides 57300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 191, 300, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 4775, 5730, 9550, 11460, 14325, 19100, 28650

Step-4: Factors of 57312

List of positive integer factors of 57312 that divides 57300 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 57300 and 57312. The biggest common factor number is the GCF number.
So the greatest common factor 57300 and 57312 is 12.

Also check out the Least Common Multiple of 57300 and 57312