Greatest Common Factor of 2508 and 2514

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, 2514 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2508 and 2514 is 6.

GCF(2508,2514) = 6

GCF of 2508 and 2514

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

GCF of:
and

Greatest Common Factor of 2508 and 2514

GCF of 2508 and 2514 is 6

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 2514


2 2514
3 1257
419 419
1

Prime factors of 2514 are 2,3,419. Prime factorization of 2514 in exponential form is:

2514 = 21×31×4191

∴ So by taking common prime factors GCF of 2508 and 2514 is 6

Greatest Common Factor of 2508 and 2514 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 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1,2,3,6,419,838,1257,2514

Greatest Common Factor

We found the factors and prime factorization of 2508 and 2514. The biggest common factor number is the GCF number.
So the greatest common factor 2508 and 2514 is 6.

Also check out the Least Common Multiple of 2508 and 2514

Properties of GCF 2508 and 2514

(i) The GCF of 2508 and 2514 is associative

GCF of 2508 and 2514 = GCF of 2514 and 2508

Related Greatest Common Factor of 2508

Related Greatest Common Factor of 2514

Frequently Asked Questions on GCF of 2508 and 2514

1. What is the GCF of 2508 and 2514?

Answer: GCF of 2508 and 2514 is 6.

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 2514?

Answer: Factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514. There are 8 integers that are factors of 2514. The greatest factor of 2514 is 2514.

4. How to Find the GCF of 2508 and 2514?

Answer:

Greatest Common Factor of 2508 and 2514 = 6

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 2514

2514 = 2 x 3 x 419

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2508 and 2514 is 6