What is the Greatest Common Factor of 56256 and 56272?

Greatest common factor (GCF) of 56256 and 56272 is 16.

GCF(56256,56272) = 16

We will now calculate the prime factors of 56256 and 56272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56256 and 56272.

How to find the GCF of 56256 and 56272?

We will first find the prime factorization of 56256 and 56272. After we will calculate the factors of 56256 and 56272 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 56272

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

56272 = 2⁴ × 3517¹

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 56272

List of positive integer factors of 56272 that divides 56256 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 56256 and 56272. The biggest common factor number is the GCF number.
So the greatest common factor 56256 and 56272 is 16.

Also check out the Least Common Multiple of 56256 and 56272