What is the Greatest Common Factor of 2560 and 2570?

Greatest common factor (GCF) of 2560 and 2570 is 10.

GCF(2560,2570) = 10

We will now calculate the prime factors of 2560 and 2570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2560 and 2570.

How to find the GCF of 2560 and 2570?

We will first find the prime factorization of 2560 and 2570. After we will calculate the factors of 2560 and 2570 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 2570

Prime factors of 2570 are 2, 5, 257. Prime factorization of 2570 in exponential form is:

2570 = 2¹ × 5¹ × 257¹

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 2570

List of positive integer factors of 2570 that divides 2560 without a remainder.

1, 2, 5, 10, 257, 514, 1285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2560 and 2570. The biggest common factor number is the GCF number.
So the greatest common factor 2560 and 2570 is 10.

Also check out the Least Common Multiple of 2560 and 2570