Greatest Common Factor of 2508 and 2516

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 2508, 2516 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2508 and 2516 is 4.

GCF(2508,2516) = 4

GCF of 2508 and 2516

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

GCF of:
and

Greatest Common Factor of 2508 and 2516

GCF of 2508 and 2516 is 4

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

Prime Factorization of 2516


2 2516
2 1258
17 629
37 37
1

Prime factors of 2516 are 2,17,37. Prime factorization of 2516 in exponential form is:

2516 = 22×171×371

∴ So by taking common prime factors GCF of 2508 and 2516 is 4

Greatest Common Factor of 2508 and 2516 by matching factors method

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

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1,2,4,17,34,37,68,74,148,629,1258,2516

Greatest Common Factor

We found the factors and prime factorization of 2508 and 2516. The biggest common factor number is the GCF number.
So the greatest common factor 2508 and 2516 is 4.

Also check out the Least Common Multiple of 2508 and 2516

Properties of GCF 2508 and 2516

(i) The GCF of 2508 and 2516 is associative

GCF of 2508 and 2516 = GCF of 2516 and 2508

Related Greatest Common Factor of 2508

Related Greatest Common Factor of 2516

Frequently Asked Questions on GCF of 2508 and 2516

1. What is the GCF of 2508 and 2516?

Answer: GCF of 2508 and 2516 is 4.

2. 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.

3. What are the Factors of 2516?

Answer: Factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516. There are 12 integers that are factors of 2516. The greatest factor of 2516 is 2516.

4. How to Find the GCF of 2508 and 2516?

Answer:

Greatest Common Factor of 2508 and 2516 = 4

Step 1: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 2516

2516 = 2 x 2 x 17 x 37

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 2508 and 2516 is 4