Greatest Common Factor of 2625 and 2631

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 2625, 2631 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2625 and 2631 is 3.

GCF(2625,2631) = 3

GCF of 2625 and 2631

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

GCF of:
and

Greatest Common Factor of 2625 and 2631

GCF of 2625 and 2631 is 3

Prime Factorization of 2625


3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 2625 are 3,5,7. Prime factorization of 2625 in exponential form is:

2625 = 31×53×71

Prime Factorization of 2631


3 2631
877 877
1

Prime factors of 2631 are 3,877. Prime factorization of 2631 in exponential form is:

2631 = 31×8771

∴ So by taking common prime factors GCF of 2625 and 2631 is 3

Greatest Common Factor of 2625 and 2631 by matching factors method

Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625

Factors of 2631

List of positive integer factors of 2631 that divides 2631 without a remainder.

1,3,877,2631

Greatest Common Factor

We found the factors and prime factorization of 2625 and 2631. The biggest common factor number is the GCF number.
So the greatest common factor 2625 and 2631 is 3.

Also check out the Least Common Multiple of 2625 and 2631

Properties of GCF 2625 and 2631

(i) The GCF of 2625 and 2631 is associative

GCF of 2625 and 2631 = GCF of 2631 and 2625

Related Greatest Common Factor of 2625

Related Greatest Common Factor of 2631

Frequently Asked Questions on GCF of 2625 and 2631

1. What is the GCF of 2625 and 2631?

Answer: GCF of 2625 and 2631 is 3.

2. What are the Factors of 2625?

Answer: Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625. There are 16 integers that are factors of 2625. The greatest factor of 2625 is 2625.

3. What are the Factors of 2631?

Answer: Factors of 2631 are 1, 3, 877, 2631. There are 4 integers that are factors of 2631. The greatest factor of 2631 is 2631.

4. How to Find the GCF of 2625 and 2631?

Answer:

Greatest Common Factor of 2625 and 2631 = 3

Step 1: Find the prime factorization of 2625

2625 = 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 2631

2631 = 3 x 877

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 2625 and 2631 is 3