What is the Greatest Common Factor of 56272 and 56288?

Greatest common factor (GCF) of 56272 and 56288 is 16.

GCF(56272,56288) = 16

We will now calculate the prime factors of 56272 and 56288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56272 and 56288.

How to find the GCF of 56272 and 56288?

We will first find the prime factorization of 56272 and 56288. After we will calculate the factors of 56272 and 56288 and find the biggest common factor number .

Step-1: Prime Factorization of 56272

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

56272 = 2⁴ × 3517¹

Step-2: Prime Factorization of 56288

Prime factors of 56288 are 2, 1759. Prime factorization of 56288 in exponential form is:

56288 = 2⁵ × 1759¹

Step-3: Factors of 56272

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

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

Step-4: Factors of 56288

List of positive integer factors of 56288 that divides 56272 without a remainder.

1, 2, 4, 8, 16, 32, 1759, 3518, 7036, 14072, 28144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56272 and 56288. The biggest common factor number is the GCF number.
So the greatest common factor 56272 and 56288 is 16.

Also check out the Least Common Multiple of 56272 and 56288