What is the Greatest Common Factor of 2577 and 2589?

Greatest common factor (GCF) of 2577 and 2589 is 3.

GCF(2577,2589) = 3

We will now calculate the prime factors of 2577 and 2589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2577 and 2589.

How to find the GCF of 2577 and 2589?

We will first find the prime factorization of 2577 and 2589. After we will calculate the factors of 2577 and 2589 and find the biggest common factor number .

Step-1: Prime Factorization of 2577

Prime factors of 2577 are 3, 859. Prime factorization of 2577 in exponential form is:

2577 = 3¹ × 859¹

Step-2: Prime Factorization of 2589

Prime factors of 2589 are 3, 863. Prime factorization of 2589 in exponential form is:

2589 = 3¹ × 863¹

Step-3: Factors of 2577

List of positive integer factors of 2577 that divides 2577 without a remainder.

1, 3, 859

Step-4: Factors of 2589

List of positive integer factors of 2589 that divides 2577 without a remainder.

1, 3, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2577 and 2589. The biggest common factor number is the GCF number.
So the greatest common factor 2577 and 2589 is 3.

Also check out the Least Common Multiple of 2577 and 2589