What is the Greatest Common Factor of 2577 and 2595?

Greatest common factor (GCF) of 2577 and 2595 is 3.

GCF(2577,2595) = 3

We will now calculate the prime factors of 2577 and 2595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2577 and 2595.

How to find the GCF of 2577 and 2595?

We will first find the prime factorization of 2577 and 2595. After we will calculate the factors of 2577 and 2595 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 2595

Prime factors of 2595 are 3, 5, 173. Prime factorization of 2595 in exponential form is:

2595 = 3¹ × 5¹ × 173¹

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 2595

List of positive integer factors of 2595 that divides 2577 without a remainder.

1, 3, 5, 15, 173, 519, 865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2577 and 2595. The biggest common factor number is the GCF number.
So the greatest common factor 2577 and 2595 is 3.

Also check out the Least Common Multiple of 2577 and 2595