What is the Greatest Common Factor of 2540 and 2560?

Greatest common factor (GCF) of 2540 and 2560 is 20.

GCF(2540,2560) = 20

We will now calculate the prime factors of 2540 and 2560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2540 and 2560.

How to find the GCF of 2540 and 2560?

We will first find the prime factorization of 2540 and 2560. After we will calculate the factors of 2540 and 2560 and find the biggest common factor number .

Step-1: Prime Factorization of 2540

Prime factors of 2540 are 2, 5, 127. Prime factorization of 2540 in exponential form is:

2540 = 2² × 5¹ × 127¹

Step-2: Prime Factorization of 2560

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

2560 = 2⁹ × 5¹

Step-3: Factors of 2540

List of positive integer factors of 2540 that divides 2540 without a remainder.

1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270

Step-4: Factors of 2560

List of positive integer factors of 2560 that divides 2540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2540 and 2560. The biggest common factor number is the GCF number.
So the greatest common factor 2540 and 2560 is 20.

Also check out the Least Common Multiple of 2540 and 2560