What is the Greatest Common Factor of 56268 and 56272?

Greatest common factor (GCF) of 56268 and 56272 is 4.

GCF(56268,56272) = 4

We will now calculate the prime factors of 56268 and 56272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56268 and 56272.

How to find the GCF of 56268 and 56272?

We will first find the prime factorization of 56268 and 56272. After we will calculate the factors of 56268 and 56272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56272

Prime factors of 56272 are 2, 3517. Prime factorization of 56272 in exponential form is:

56272 = 2⁴ × 3517¹

Step-3: Factors of 56268

List of positive integer factors of 56268 that divides 56268 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

Step-4: Factors of 56272

List of positive integer factors of 56272 that divides 56268 without a remainder.

1, 2, 4, 8, 16, 3517, 7034, 14068, 28136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56268 and 56272. The biggest common factor number is the GCF number.
So the greatest common factor 56268 and 56272 is 4.

Also check out the Least Common Multiple of 56268 and 56272