Greatest Common Factor of 7508 and 7514

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 7508, 7514 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7508 and 7514 is 2.

GCF(7508,7514) = 2

GCF of 7508 and 7514

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

GCF of:
and

Greatest Common Factor of 7508 and 7514

GCF of 7508 and 7514 is 2

Prime Factorization of 7508


2 7508
2 3754
1877 1877
1

Prime factors of 7508 are 2,1877. Prime factorization of 7508 in exponential form is:

7508 = 22×18771

Prime Factorization of 7514


2 7514
13 3757
17 289
17 17
1

Prime factors of 7514 are 2,13,17. Prime factorization of 7514 in exponential form is:

7514 = 21×131×172

∴ So by taking common prime factors GCF of 7508 and 7514 is 2

Greatest Common Factor of 7508 and 7514 by matching factors method

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1,2,4,1877,3754,7508

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1,2,13,17,26,34,221,289,442,578,3757,7514

Greatest Common Factor

We found the factors and prime factorization of 7508 and 7514. The biggest common factor number is the GCF number.
So the greatest common factor 7508 and 7514 is 2.

Also check out the Least Common Multiple of 7508 and 7514

Properties of GCF 7508 and 7514

(i) The GCF of 7508 and 7514 is associative

GCF of 7508 and 7514 = GCF of 7514 and 7508

Related Greatest Common Factor of 7508

Related Greatest Common Factor of 7514

Frequently Asked Questions on GCF of 7508 and 7514

1. What is the GCF of 7508 and 7514?

Answer: GCF of 7508 and 7514 is 2.

2. What are the Factors of 7508?

Answer: Factors of 7508 are 1, 2, 4, 1877, 3754, 7508. There are 6 integers that are factors of 7508. The greatest factor of 7508 is 7508.

3. What are the Factors of 7514?

Answer: Factors of 7514 are 1, 2, 13, 17, 26, 34, 221, 289, 442, 578, 3757, 7514. There are 12 integers that are factors of 7514. The greatest factor of 7514 is 7514.

4. How to Find the GCF of 7508 and 7514?

Answer:

Greatest Common Factor of 7508 and 7514 = 2

Step 1: Find the prime factorization of 7508

7508 = 2 x 2 x 1877

Step 2: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7508 and 7514 is 2