What is the Greatest Common Factor of 56862 and 56876?

Greatest common factor (GCF) of 56862 and 56876 is 2.

GCF(56862,56876) = 2

We will now calculate the prime factors of 56862 and 56876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56862 and 56876.

How to find the GCF of 56862 and 56876?

We will first find the prime factorization of 56862 and 56876. After we will calculate the factors of 56862 and 56876 and find the biggest common factor number .

Step-1: Prime Factorization of 56862

Prime factors of 56862 are 2, 3, 13. Prime factorization of 56862 in exponential form is:

56862 = 2¹ × 3⁷ × 13¹

Step-2: Prime Factorization of 56876

Prime factors of 56876 are 2, 59, 241. Prime factorization of 56876 in exponential form is:

56876 = 2² × 59¹ × 241¹

Step-3: Factors of 56862

List of positive integer factors of 56862 that divides 56862 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 729, 1053, 1458, 2106, 2187, 3159, 4374, 6318, 9477, 18954, 28431

Step-4: Factors of 56876

List of positive integer factors of 56876 that divides 56862 without a remainder.

1, 2, 4, 59, 118, 236, 241, 482, 964, 14219, 28438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56862 and 56876. The biggest common factor number is the GCF number.
So the greatest common factor 56862 and 56876 is 2.

Also check out the Least Common Multiple of 56862 and 56876