What is the Greatest Common Factor of 10656 and 10676?

Greatest common factor (GCF) of 10656 and 10676 is 4.

GCF(10656,10676) = 4

We will now calculate the prime factors of 10656 and 10676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10656 and 10676.

How to find the GCF of 10656 and 10676?

We will first find the prime factorization of 10656 and 10676. After we will calculate the factors of 10656 and 10676 and find the biggest common factor number .

Step-1: Prime Factorization of 10656

Prime factors of 10656 are 2, 3, 37. Prime factorization of 10656 in exponential form is:

10656 = 2⁵ × 3² × 37¹

Step-2: Prime Factorization of 10676

Prime factors of 10676 are 2, 17, 157. Prime factorization of 10676 in exponential form is:

10676 = 2² × 17¹ × 157¹

Step-3: Factors of 10656

List of positive integer factors of 10656 that divides 10656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 72, 74, 96, 111, 144, 148, 222, 288, 296, 333, 444, 592, 666, 888, 1184, 1332, 1776, 2664, 3552, 5328

Step-4: Factors of 10676

List of positive integer factors of 10676 that divides 10656 without a remainder.

1, 2, 4, 17, 34, 68, 157, 314, 628, 2669, 5338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10656 and 10676. The biggest common factor number is the GCF number.
So the greatest common factor 10656 and 10676 is 4.

Also check out the Least Common Multiple of 10656 and 10676