What is the Greatest Common Factor of 2556 and 2564?

Greatest common factor (GCF) of 2556 and 2564 is 4.

GCF(2556,2564) = 4

We will now calculate the prime factors of 2556 and 2564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2556 and 2564.

How to find the GCF of 2556 and 2564?

We will first find the prime factorization of 2556 and 2564. After we will calculate the factors of 2556 and 2564 and find the biggest common factor number .

Step-1: Prime Factorization of 2556

Prime factors of 2556 are 2, 3, 71. Prime factorization of 2556 in exponential form is:

2556 = 2² × 3² × 71¹

Step-2: Prime Factorization of 2564

Prime factors of 2564 are 2, 641. Prime factorization of 2564 in exponential form is:

2564 = 2² × 641¹

Step-3: Factors of 2556

List of positive integer factors of 2556 that divides 2556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278

Step-4: Factors of 2564

List of positive integer factors of 2564 that divides 2556 without a remainder.

1, 2, 4, 641, 1282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2556 and 2564. The biggest common factor number is the GCF number.
So the greatest common factor 2556 and 2564 is 4.

Also check out the Least Common Multiple of 2556 and 2564