What is the Greatest Common Factor of 58696 and 58712?

Greatest common factor (GCF) of 58696 and 58712 is 8.

GCF(58696,58712) = 8

We will now calculate the prime factors of 58696 and 58712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58696 and 58712.

How to find the GCF of 58696 and 58712?

We will first find the prime factorization of 58696 and 58712. After we will calculate the factors of 58696 and 58712 and find the biggest common factor number .

Step-1: Prime Factorization of 58696

Prime factors of 58696 are 2, 11, 23, 29. Prime factorization of 58696 in exponential form is:

58696 = 2³ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 58712

Prime factors of 58712 are 2, 41, 179. Prime factorization of 58712 in exponential form is:

58712 = 2³ × 41¹ × 179¹

Step-3: Factors of 58696

List of positive integer factors of 58696 that divides 58696 without a remainder.

1, 2, 4, 8, 11, 22, 23, 29, 44, 46, 58, 88, 92, 116, 184, 232, 253, 319, 506, 638, 667, 1012, 1276, 1334, 2024, 2552, 2668, 5336, 7337, 14674, 29348

Step-4: Factors of 58712

List of positive integer factors of 58712 that divides 58696 without a remainder.

1, 2, 4, 8, 41, 82, 164, 179, 328, 358, 716, 1432, 7339, 14678, 29356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58696 and 58712. The biggest common factor number is the GCF number.
So the greatest common factor 58696 and 58712 is 8.

Also check out the Least Common Multiple of 58696 and 58712