Greatest Common Factor of 2500 and 2508

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 2500, 2508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2500 and 2508 is 4.

GCF(2500,2508) = 4

GCF of 2500 and 2508

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

GCF of:
and

Greatest Common Factor of 2500 and 2508

GCF of 2500 and 2508 is 4

Prime Factorization of 2500


2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 2500 are 2,5. Prime factorization of 2500 in exponential form is:

2500 = 22×54

Prime Factorization of 2508


2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 2508 are 2,3,11,19. Prime factorization of 2508 in exponential form is:

2508 = 22×31×111×191

∴ So by taking common prime factors GCF of 2500 and 2508 is 4

Greatest Common Factor of 2500 and 2508 by matching factors method

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Greatest Common Factor

We found the factors and prime factorization of 2500 and 2508. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2508 is 4.

Also check out the Least Common Multiple of 2500 and 2508

Properties of GCF 2500 and 2508

(i) The GCF of 2500 and 2508 is associative

GCF of 2500 and 2508 = GCF of 2508 and 2500

Related Greatest Common Factor of 2500

Related Greatest Common Factor of 2508

Frequently Asked Questions on GCF of 2500 and 2508

1. What is the GCF of 2500 and 2508?

Answer: GCF of 2500 and 2508 is 4.

2. What are the Factors of 2500?

Answer: Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. There are 15 integers that are factors of 2500. The greatest factor of 2500 is 2500.

3. What are the Factors of 2508?

Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.

4. How to Find the GCF of 2500 and 2508?

Answer:

Greatest Common Factor of 2500 and 2508 = 4

Step 1: Find the prime factorization of 2500

2500 = 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2500 and 2508 is 4