What is the Greatest Common Factor of 56258 and 56272?

Greatest common factor (GCF) of 56258 and 56272 is 2.

GCF(56258,56272) = 2

We will now calculate the prime factors of 56258 and 56272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56258 and 56272.

How to find the GCF of 56258 and 56272?

We will first find the prime factorization of 56258 and 56272. After we will calculate the factors of 56258 and 56272 and find the biggest common factor number .

Step-1: Prime Factorization of 56258

Prime factors of 56258 are 2, 23, 1223. Prime factorization of 56258 in exponential form is:

56258 = 2¹ × 23¹ × 1223¹

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 56258

List of positive integer factors of 56258 that divides 56258 without a remainder.

1, 2, 23, 46, 1223, 2446, 28129

Step-4: Factors of 56272

List of positive integer factors of 56272 that divides 56258 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 56258 and 56272. The biggest common factor number is the GCF number.
So the greatest common factor 56258 and 56272 is 2.

Also check out the Least Common Multiple of 56258 and 56272