Greatest Common Factor of 7521 and 7527

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 7521, 7527 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7521 and 7527 is 3.

GCF(7521,7527) = 3

GCF of 7521 and 7527

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

GCF of:
and

Greatest Common Factor of 7521 and 7527

GCF of 7521 and 7527 is 3

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

Prime Factorization of 7527


3 7527
13 2509
193 193
1

Prime factors of 7527 are 3,13,193. Prime factorization of 7527 in exponential form is:

7527 = 31×131×1931

∴ So by taking common prime factors GCF of 7521 and 7527 is 3

Greatest Common Factor of 7521 and 7527 by matching factors method

Factors of 7521

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

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

Factors of 7527

List of positive integer factors of 7527 that divides 7527 without a remainder.

1,3,13,39,193,579,2509,7527

Greatest Common Factor

We found the factors and prime factorization of 7521 and 7527. The biggest common factor number is the GCF number.
So the greatest common factor 7521 and 7527 is 3.

Also check out the Least Common Multiple of 7521 and 7527

Properties of GCF 7521 and 7527

(i) The GCF of 7521 and 7527 is associative

GCF of 7521 and 7527 = GCF of 7527 and 7521

Related Greatest Common Factor of 7521

Related Greatest Common Factor of 7527

Frequently Asked Questions on GCF of 7521 and 7527

1. What is the GCF of 7521 and 7527?

Answer: GCF of 7521 and 7527 is 3.

2. 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.

3. What are the Factors of 7527?

Answer: Factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527. There are 8 integers that are factors of 7527. The greatest factor of 7527 is 7527.

4. How to Find the GCF of 7521 and 7527?

Answer:

Greatest Common Factor of 7521 and 7527 = 3

Step 1: Find the prime factorization of 7521

7521 = 3 x 23 x 109

Step 2: Find the prime factorization of 7527

7527 = 3 x 13 x 193

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7521 and 7527 is 3