What is the Greatest Common Factor of 2560 and 2567?

Greatest common factor (GCF) of 2560 and 2567 is 1.

GCF(2560,2567) = 1

We will now calculate the prime factors of 2560 and 2567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2560 and 2567.

How to find the GCF of 2560 and 2567?

We will first find the prime factorization of 2560 and 2567. After we will calculate the factors of 2560 and 2567 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 2567

Prime factors of 2567 are 17, 151. Prime factorization of 2567 in exponential form is:

2567 = 17¹ × 151¹

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 2567

List of positive integer factors of 2567 that divides 2560 without a remainder.

1, 17, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2560 and 2567. The biggest common factor number is the GCF number.
So the greatest common factor 2560 and 2567 is 1.

Also check out the Least Common Multiple of 2560 and 2567