What is the Greatest Common Factor of 2565 and 2577?

Greatest common factor (GCF) of 2565 and 2577 is 3.

GCF(2565,2577) = 3

We will now calculate the prime factors of 2565 and 2577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2565 and 2577.

How to find the GCF of 2565 and 2577?

We will first find the prime factorization of 2565 and 2577. After we will calculate the factors of 2565 and 2577 and find the biggest common factor number .

Step-1: Prime Factorization of 2565

Prime factors of 2565 are 3, 5, 19. Prime factorization of 2565 in exponential form is:

2565 = 3³ × 5¹ × 19¹

Step-2: Prime Factorization of 2577

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

2577 = 3¹ × 859¹

Step-3: Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855

Step-4: Factors of 2577

List of positive integer factors of 2577 that divides 2565 without a remainder.

1, 3, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2565 and 2577. The biggest common factor number is the GCF number.
So the greatest common factor 2565 and 2577 is 3.

Also check out the Least Common Multiple of 2565 and 2577