What is the Greatest Common Factor of 51564 and 51576?

Greatest common factor (GCF) of 51564 and 51576 is 12.

GCF(51564,51576) = 12

We will now calculate the prime factors of 51564 and 51576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51564 and 51576.

How to find the GCF of 51564 and 51576?

We will first find the prime factorization of 51564 and 51576. After we will calculate the factors of 51564 and 51576 and find the biggest common factor number .

Step-1: Prime Factorization of 51564

Prime factors of 51564 are 2, 3, 4297. Prime factorization of 51564 in exponential form is:

51564 = 2² × 3¹ × 4297¹

Step-2: Prime Factorization of 51576

Prime factors of 51576 are 2, 3, 7, 307. Prime factorization of 51576 in exponential form is:

51576 = 2³ × 3¹ × 7¹ × 307¹

Step-3: Factors of 51564

List of positive integer factors of 51564 that divides 51564 without a remainder.

1, 2, 3, 4, 6, 12, 4297, 8594, 12891, 17188, 25782

Step-4: Factors of 51576

List of positive integer factors of 51576 that divides 51564 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 307, 614, 921, 1228, 1842, 2149, 2456, 3684, 4298, 6447, 7368, 8596, 12894, 17192, 25788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51564 and 51576. The biggest common factor number is the GCF number.
So the greatest common factor 51564 and 51576 is 12.

Also check out the Least Common Multiple of 51564 and 51576