What is the Greatest Common Factor of 56376 and 56388?

Greatest common factor (GCF) of 56376 and 56388 is 12.

GCF(56376,56388) = 12

We will now calculate the prime factors of 56376 and 56388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56376 and 56388.

How to find the GCF of 56376 and 56388?

We will first find the prime factorization of 56376 and 56388. After we will calculate the factors of 56376 and 56388 and find the biggest common factor number .

Step-1: Prime Factorization of 56376

Prime factors of 56376 are 2, 3, 29. Prime factorization of 56376 in exponential form is:

56376 = 2³ × 3⁵ × 29¹

Step-2: Prime Factorization of 56388

Prime factors of 56388 are 2, 3, 37, 127. Prime factorization of 56388 in exponential form is:

56388 = 2² × 3¹ × 37¹ × 127¹

Step-3: Factors of 56376

List of positive integer factors of 56376 that divides 56376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 81, 87, 108, 116, 162, 174, 216, 232, 243, 261, 324, 348, 486, 522, 648, 696, 783, 972, 1044, 1566, 1944, 2088, 2349, 3132, 4698, 6264, 7047, 9396, 14094, 18792, 28188

Step-4: Factors of 56388

List of positive integer factors of 56388 that divides 56376 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 127, 148, 222, 254, 381, 444, 508, 762, 1524, 4699, 9398, 14097, 18796, 28194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56376 and 56388. The biggest common factor number is the GCF number.
So the greatest common factor 56376 and 56388 is 12.

Also check out the Least Common Multiple of 56376 and 56388