What is the Greatest Common Factor of 56256 and 56268?

Greatest common factor (GCF) of 56256 and 56268 is 12.

GCF(56256,56268) = 12

We will now calculate the prime factors of 56256 and 56268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56256 and 56268.

How to find the GCF of 56256 and 56268?

We will first find the prime factorization of 56256 and 56268. After we will calculate the factors of 56256 and 56268 and find the biggest common factor number .

Step-1: Prime Factorization of 56256

Prime factors of 56256 are 2, 3, 293. Prime factorization of 56256 in exponential form is:

56256 = 2⁶ × 3¹ × 293¹

Step-2: Prime Factorization of 56268

Prime factors of 56268 are 2, 3, 521. Prime factorization of 56268 in exponential form is:

56268 = 2² × 3³ × 521¹

Step-3: Factors of 56256

List of positive integer factors of 56256 that divides 56256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 293, 586, 879, 1172, 1758, 2344, 3516, 4688, 7032, 9376, 14064, 18752, 28128

Step-4: Factors of 56268

List of positive integer factors of 56268 that divides 56256 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 521, 1042, 1563, 2084, 3126, 4689, 6252, 9378, 14067, 18756, 28134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56256 and 56268. The biggest common factor number is the GCF number.
So the greatest common factor 56256 and 56268 is 12.

Also check out the Least Common Multiple of 56256 and 56268