What is the Greatest Common Factor of 2556 and 2565?

Greatest common factor (GCF) of 2556 and 2565 is 9.

GCF(2556,2565) = 9

We will now calculate the prime factors of 2556 and 2565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2556 and 2565.

How to find the GCF of 2556 and 2565?

We will first find the prime factorization of 2556 and 2565. After we will calculate the factors of 2556 and 2565 and find the biggest common factor number .

Step-1: Prime Factorization of 2556

Prime factors of 2556 are 2, 3, 71. Prime factorization of 2556 in exponential form is:

2556 = 2² × 3² × 71¹

Step-2: 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-3: Factors of 2556

List of positive integer factors of 2556 that divides 2556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278

Step-4: Factors of 2565

List of positive integer factors of 2565 that divides 2556 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2556 and 2565. The biggest common factor number is the GCF number.
So the greatest common factor 2556 and 2565 is 9.

Also check out the Least Common Multiple of 2556 and 2565