What is the Greatest Common Factor of 2656 and 2666?

Greatest common factor (GCF) of 2656 and 2666 is 2.

GCF(2656,2666) = 2

We will now calculate the prime factors of 2656 and 2666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2656 and 2666.

How to find the GCF of 2656 and 2666?

We will first find the prime factorization of 2656 and 2666. After we will calculate the factors of 2656 and 2666 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 2666

Prime factors of 2666 are 2, 31, 43. Prime factorization of 2666 in exponential form is:

2666 = 2¹ × 31¹ × 43¹

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 2666

List of positive integer factors of 2666 that divides 2656 without a remainder.

1, 2, 31, 43, 62, 86, 1333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2656 and 2666. The biggest common factor number is the GCF number.
So the greatest common factor 2656 and 2666 is 2.

Also check out the Least Common Multiple of 2656 and 2666