What is the Greatest Common Factor of 2560 and 2564?

Greatest common factor (GCF) of 2560 and 2564 is 4.

GCF(2560,2564) = 4

We will now calculate the prime factors of 2560 and 2564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2560 and 2564.

How to find the GCF of 2560 and 2564?

We will first find the prime factorization of 2560 and 2564. After we will calculate the factors of 2560 and 2564 and find the biggest common factor number .

Step-1: Prime Factorization of 2560

Prime factors of 2560 are 2, 5. Prime factorization of 2560 in exponential form is:

2560 = 2⁹ × 5¹

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 2560

List of positive integer factors of 2560 that divides 2560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280

Step-4: Factors of 2564

List of positive integer factors of 2564 that divides 2560 without a remainder.

1, 2, 4, 641, 1282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2560 and 2564. The biggest common factor number is the GCF number.
So the greatest common factor 2560 and 2564 is 4.

Also check out the Least Common Multiple of 2560 and 2564