What is the Greatest Common Factor of 2589 and 2596?

Greatest common factor (GCF) of 2589 and 2596 is 1.

GCF(2589,2596) = 1

We will now calculate the prime factors of 2589 and 2596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2589 and 2596.

How to find the GCF of 2589 and 2596?

We will first find the prime factorization of 2589 and 2596. After we will calculate the factors of 2589 and 2596 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 2596

Prime factors of 2596 are 2, 11, 59. Prime factorization of 2596 in exponential form is:

2596 = 2² × 11¹ × 59¹

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 2596

List of positive integer factors of 2596 that divides 2589 without a remainder.

1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2589 and 2596. The biggest common factor number is the GCF number.
So the greatest common factor 2589 and 2596 is 1.

Also check out the Least Common Multiple of 2589 and 2596