What is the Greatest Common Factor of 57360 and 57372?

Greatest common factor (GCF) of 57360 and 57372 is 12.

GCF(57360,57372) = 12

We will now calculate the prime factors of 57360 and 57372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57360 and 57372.

How to find the GCF of 57360 and 57372?

We will first find the prime factorization of 57360 and 57372. After we will calculate the factors of 57360 and 57372 and find the biggest common factor number .

Step-1: Prime Factorization of 57360

Prime factors of 57360 are 2, 3, 5, 239. Prime factorization of 57360 in exponential form is:

57360 = 2⁴ × 3¹ × 5¹ × 239¹

Step-2: Prime Factorization of 57372

Prime factors of 57372 are 2, 3, 7, 683. Prime factorization of 57372 in exponential form is:

57372 = 2² × 3¹ × 7¹ × 683¹

Step-3: Factors of 57360

List of positive integer factors of 57360 that divides 57360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 239, 240, 478, 717, 956, 1195, 1434, 1912, 2390, 2868, 3585, 3824, 4780, 5736, 7170, 9560, 11472, 14340, 19120, 28680

Step-4: Factors of 57372

List of positive integer factors of 57372 that divides 57360 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 683, 1366, 2049, 2732, 4098, 4781, 8196, 9562, 14343, 19124, 28686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57360 and 57372. The biggest common factor number is the GCF number.
So the greatest common factor 57360 and 57372 is 12.

Also check out the Least Common Multiple of 57360 and 57372