What is the Greatest Common Factor of 56272 and 56279?

Greatest common factor (GCF) of 56272 and 56279 is 1.

GCF(56272,56279) = 1

We will now calculate the prime factors of 56272 and 56279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56272 and 56279.

How to find the GCF of 56272 and 56279?

We will first find the prime factorization of 56272 and 56279. After we will calculate the factors of 56272 and 56279 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 56279

Prime factors of 56279 are 167, 337. Prime factorization of 56279 in exponential form is:

56279 = 167¹ × 337¹

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 56279

List of positive integer factors of 56279 that divides 56272 without a remainder.

1, 167, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56272 and 56279. The biggest common factor number is the GCF number.
So the greatest common factor 56272 and 56279 is 1.

Also check out the Least Common Multiple of 56272 and 56279