Greatest Common Factor of 7506 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 7506, 7514 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7506 and 7514 is 2.

GCF(7506,7514) = 2

GCF of 7506 and 7514

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

GCF of:
and

Greatest Common Factor of 7506 and 7514

GCF of 7506 and 7514 is 2

Prime Factorization of 7506


2 7506
3 3753
3 1251
3 417
139 139
1

Prime factors of 7506 are 2,3,139. Prime factorization of 7506 in exponential form is:

7506 = 21×33×1391

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 7506 and 7514 is 2

Greatest Common Factor of 7506 and 7514 by matching factors method

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506

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 7506 and 7514. The biggest common factor number is the GCF number.
So the greatest common factor 7506 and 7514 is 2.

Also check out the Least Common Multiple of 7506 and 7514

Properties of GCF 7506 and 7514

(i) The GCF of 7506 and 7514 is associative

GCF of 7506 and 7514 = GCF of 7514 and 7506

Related Greatest Common Factor of 7506

Related Greatest Common Factor of 7514

Frequently Asked Questions on GCF of 7506 and 7514

1. What is the GCF of 7506 and 7514?

Answer: GCF of 7506 and 7514 is 2.

2. What are the Factors of 7506?

Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.

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 7506 and 7514?

Answer:

Greatest Common Factor of 7506 and 7514 = 2

Step 1: Find the prime factorization of 7506

7506 = 2 x 3 x 3 x 3 x 139

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 7506 and 7514 is 2