Greatest Common Factor of 2589 and 2595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2589, 2595 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2589 and 2595 is 3.

GCF(2589,2595) = 3

GCF of 2589 and 2595

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2589 and 2595

GCF of 2589 and 2595 is 3

Prime Factorization of 2589


3 2589
863 863
1

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

2589 = 31×8631

Prime Factorization of 2595


3 2595
5 865
173 173
1

Prime factors of 2595 are 3,5,173. Prime factorization of 2595 in exponential form is:

2595 = 31×51×1731

∴ So by taking common prime factors GCF of 2589 and 2595 is 3

Greatest Common Factor of 2589 and 2595 by matching factors method

Factors of 2589

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

1,3,863,2589

Factors of 2595

List of positive integer factors of 2595 that divides 2595 without a remainder.

1,3,5,15,173,519,865,2595

Greatest Common Factor

We found the factors and prime factorization of 2589 and 2595. The biggest common factor number is the GCF number.
So the greatest common factor 2589 and 2595 is 3.

Also check out the Least Common Multiple of 2589 and 2595

Properties of GCF 2589 and 2595

(i) The GCF of 2589 and 2595 is associative

GCF of 2589 and 2595 = GCF of 2595 and 2589

Related Greatest Common Factor of 2589

Related Greatest Common Factor of 2595

Frequently Asked Questions on GCF of 2589 and 2595

1. What is the GCF of 2589 and 2595?

Answer: GCF of 2589 and 2595 is 3.

2. What are the Factors of 2589?

Answer: Factors of 2589 are 1, 3, 863, 2589. There are 4 integers that are factors of 2589. The greatest factor of 2589 is 2589.

3. What are the Factors of 2595?

Answer: Factors of 2595 are 1, 3, 5, 15, 173, 519, 865, 2595. There are 8 integers that are factors of 2595. The greatest factor of 2595 is 2595.

4. How to Find the GCF of 2589 and 2595?

Answer:

Greatest Common Factor of 2589 and 2595 = 3

Step 1: Find the prime factorization of 2589

2589 = 3 x 863

Step 2: Find the prime factorization of 2595

2595 = 3 x 5 x 173

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 2589 and 2595 is 3