What is the Greatest Common Factor of 14656 and 14676?

Greatest common factor (GCF) of 14656 and 14676 is 4.

GCF(14656,14676) = 4

We will now calculate the prime factors of 14656 and 14676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14656 and 14676.

How to find the GCF of 14656 and 14676?

We will first find the prime factorization of 14656 and 14676. After we will calculate the factors of 14656 and 14676 and find the biggest common factor number .

Step-1: Prime Factorization of 14656

Prime factors of 14656 are 2, 229. Prime factorization of 14656 in exponential form is:

14656 = 2⁶ × 229¹

Step-2: Prime Factorization of 14676

Prime factors of 14676 are 2, 3, 1223. Prime factorization of 14676 in exponential form is:

14676 = 2² × 3¹ × 1223¹

Step-3: Factors of 14656

List of positive integer factors of 14656 that divides 14656 without a remainder.

1, 2, 4, 8, 16, 32, 64, 229, 458, 916, 1832, 3664, 7328

Step-4: Factors of 14676

List of positive integer factors of 14676 that divides 14656 without a remainder.

1, 2, 3, 4, 6, 12, 1223, 2446, 3669, 4892, 7338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14656 and 14676. The biggest common factor number is the GCF number.
So the greatest common factor 14656 and 14676 is 4.

Also check out the Least Common Multiple of 14656 and 14676