Greatest Common Factor of 2625 and 2628

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, 2628 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2625 and 2628 is 3.

GCF(2625,2628) = 3

GCF of 2625 and 2628

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

GCF of:
and

Greatest Common Factor of 2625 and 2628

GCF of 2625 and 2628 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 2628


2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 2628 are 2,3,73. Prime factorization of 2628 in exponential form is:

2628 = 22×32×731

∴ So by taking common prime factors GCF of 2625 and 2628 is 3

Greatest Common Factor of 2625 and 2628 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 2628

List of positive integer factors of 2628 that divides 2628 without a remainder.

1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628

Greatest Common Factor

We found the factors and prime factorization of 2625 and 2628. The biggest common factor number is the GCF number.
So the greatest common factor 2625 and 2628 is 3.

Also check out the Least Common Multiple of 2625 and 2628

Properties of GCF 2625 and 2628

(i) The GCF of 2625 and 2628 is associative

GCF of 2625 and 2628 = GCF of 2628 and 2625

Related Greatest Common Factor of 2625

Related Greatest Common Factor of 2628

Frequently Asked Questions on GCF of 2625 and 2628

1. What is the GCF of 2625 and 2628?

Answer: GCF of 2625 and 2628 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 2628?

Answer: Factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. There are 18 integers that are factors of 2628. The greatest factor of 2628 is 2628.

4. How to Find the GCF of 2625 and 2628?

Answer:

Greatest Common Factor of 2625 and 2628 = 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 2628

2628 = 2 x 2 x 3 x 3 x 73

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 2628 is 3