What is the Greatest Common Factor of 2560 and 2578?

Greatest common factor (GCF) of 2560 and 2578 is 2.

GCF(2560,2578) = 2

We will now calculate the prime factors of 2560 and 2578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2560 and 2578.

How to find the GCF of 2560 and 2578?

We will first find the prime factorization of 2560 and 2578. After we will calculate the factors of 2560 and 2578 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 2578

Prime factors of 2578 are 2, 1289. Prime factorization of 2578 in exponential form is:

2578 = 2¹ × 1289¹

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 2578

List of positive integer factors of 2578 that divides 2560 without a remainder.

1, 2, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2560 and 2578. The biggest common factor number is the GCF number.
So the greatest common factor 2560 and 2578 is 2.

Also check out the Least Common Multiple of 2560 and 2578