What is the Greatest Common Factor of 2656 and 2662?

Greatest common factor (GCF) of 2656 and 2662 is 2.

GCF(2656,2662) = 2

We will now calculate the prime factors of 2656 and 2662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2656 and 2662.

How to find the GCF of 2656 and 2662?

We will first find the prime factorization of 2656 and 2662. After we will calculate the factors of 2656 and 2662 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 2662

Prime factors of 2662 are 2, 11. Prime factorization of 2662 in exponential form is:

2662 = 2¹ × 11³

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 2662

List of positive integer factors of 2662 that divides 2656 without a remainder.

1, 2, 11, 22, 121, 242, 1331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2656 and 2662. The biggest common factor number is the GCF number.
So the greatest common factor 2656 and 2662 is 2.

Also check out the Least Common Multiple of 2656 and 2662