What is the Greatest Common Factor of 2656 and 2676?

Greatest common factor (GCF) of 2656 and 2676 is 4.

GCF(2656,2676) = 4

We will now calculate the prime factors of 2656 and 2676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2656 and 2676.

How to find the GCF of 2656 and 2676?

We will first find the prime factorization of 2656 and 2676. After we will calculate the factors of 2656 and 2676 and find the biggest common factor number .

Step-1: Prime Factorization of 2656

Prime factors of 2656 are 2, 83. Prime factorization of 2656 in exponential form is:

2656 = 2⁵ × 83¹

Step-2: Prime Factorization of 2676

Prime factors of 2676 are 2, 3, 223. Prime factorization of 2676 in exponential form is:

2676 = 2² × 3¹ × 223¹

Step-3: Factors of 2656

List of positive integer factors of 2656 that divides 2656 without a remainder.

1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328

Step-4: Factors of 2676

List of positive integer factors of 2676 that divides 2656 without a remainder.

1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2656 and 2676. The biggest common factor number is the GCF number.
So the greatest common factor 2656 and 2676 is 4.

Also check out the Least Common Multiple of 2656 and 2676