What is the Greatest Common Factor of 2638 and 2656?

Greatest common factor (GCF) of 2638 and 2656 is 2.

GCF(2638,2656) = 2

We will now calculate the prime factors of 2638 and 2656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2638 and 2656.

How to find the GCF of 2638 and 2656?

We will first find the prime factorization of 2638 and 2656. After we will calculate the factors of 2638 and 2656 and find the biggest common factor number .

Step-1: Prime Factorization of 2638

Prime factors of 2638 are 2, 1319. Prime factorization of 2638 in exponential form is:

2638 = 2¹ × 1319¹

Step-2: Prime Factorization of 2656

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

2656 = 2⁵ × 83¹

Step-3: Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1, 2, 1319

Step-4: Factors of 2656

List of positive integer factors of 2656 that divides 2638 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2638 and 2656. The biggest common factor number is the GCF number.
So the greatest common factor 2638 and 2656 is 2.

Also check out the Least Common Multiple of 2638 and 2656