What is the Greatest Common Factor of 2584 and 2601?

Greatest common factor (GCF) of 2584 and 2601 is 17.

GCF(2584,2601) = 17

We will now calculate the prime factors of 2584 and 2601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2584 and 2601.

How to find the GCF of 2584 and 2601?

We will first find the prime factorization of 2584 and 2601. After we will calculate the factors of 2584 and 2601 and find the biggest common factor number .

Step-1: Prime Factorization of 2584

Prime factors of 2584 are 2, 17, 19. Prime factorization of 2584 in exponential form is:

2584 = 2³ × 17¹ × 19¹

Step-2: Prime Factorization of 2601

Prime factors of 2601 are 3, 17. Prime factorization of 2601 in exponential form is:

2601 = 3² × 17²

Step-3: Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292

Step-4: Factors of 2601

List of positive integer factors of 2601 that divides 2584 without a remainder.

1, 3, 9, 17, 51, 153, 289, 867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2584 and 2601. The biggest common factor number is the GCF number.
So the greatest common factor 2584 and 2601 is 17.

Also check out the Least Common Multiple of 2584 and 2601