What is the Greatest Common Factor of 2589 and 2605?

Greatest common factor (GCF) of 2589 and 2605 is 1.

GCF(2589,2605) = 1

We will now calculate the prime factors of 2589 and 2605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2589 and 2605.

How to find the GCF of 2589 and 2605?

We will first find the prime factorization of 2589 and 2605. After we will calculate the factors of 2589 and 2605 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 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 5¹ × 521¹

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 2605

List of positive integer factors of 2605 that divides 2589 without a remainder.

1, 5, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2589 and 2605. The biggest common factor number is the GCF number.
So the greatest common factor 2589 and 2605 is 1.

Also check out the Least Common Multiple of 2589 and 2605