What is the Greatest Common Factor of 2589 and 2601?

Greatest common factor (GCF) of 2589 and 2601 is 3.

GCF(2589,2601) = 3

We will now calculate the prime factors of 2589 and 2601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2589 and 2601.

How to find the GCF of 2589 and 2601?

We will first find the prime factorization of 2589 and 2601. After we will calculate the factors of 2589 and 2601 and find the biggest common factor number .

Step-1: Prime Factorization of 2589

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

2589 = 3¹ × 863¹

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 2589

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

1, 3, 863

Step-4: Factors of 2601

List of positive integer factors of 2601 that divides 2589 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 2589 and 2601. The biggest common factor number is the GCF number.
So the greatest common factor 2589 and 2601 is 3.

Also check out the Least Common Multiple of 2589 and 2601