Greatest Common Factor of 7514 and 7521

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 7514, 7521 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7514 and 7521 is 1.

GCF(7514,7521) = 1

GCF of 7514 and 7521

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

GCF of:
and

Greatest Common Factor of 7514 and 7521

GCF of 7514 and 7521 is 1

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

Prime Factorization of 7521


3 7521
23 2507
109 109
1

Prime factors of 7521 are 3,23,109. Prime factorization of 7521 in exponential form is:

7521 = 31×231×1091

∴ So by taking common prime factors GCF of 7514 and 7521 is 1

Greatest Common Factor of 7514 and 7521 by matching factors method

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

Factors of 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1,3,23,69,109,327,2507,7521

Greatest Common Factor

We found the factors and prime factorization of 7514 and 7521. The biggest common factor number is the GCF number.
So the greatest common factor 7514 and 7521 is 1.

Also check out the Least Common Multiple of 7514 and 7521

Properties of GCF 7514 and 7521

(i) The GCF of 7514 and 7521 is associative

GCF of 7514 and 7521 = GCF of 7521 and 7514

Related Greatest Common Factor of 7514

Related Greatest Common Factor of 7521

Frequently Asked Questions on GCF of 7514 and 7521

1. What is the GCF of 7514 and 7521?

Answer: GCF of 7514 and 7521 is 1.

2. 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.

3. What are the Factors of 7521?

Answer: Factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521. There are 8 integers that are factors of 7521. The greatest factor of 7521 is 7521.

4. How to Find the GCF of 7514 and 7521?

Answer:

Greatest Common Factor of 7514 and 7521 = 1

Step 1: Find the prime factorization of 7514

7514 = 2 x 13 x 17 x 17

Step 2: Find the prime factorization of 7521

7521 = 3 x 23 x 109

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7514 and 7521 is 1