Greatest Common Factor of 6524 and 6531

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 6524, 6531 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6524 and 6531 is 7.

GCF(6524,6531) = 7

GCF of 6524 and 6531

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

GCF of:
and

Greatest Common Factor of 6524 and 6531

GCF of 6524 and 6531 is 7

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2,7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

Prime Factorization of 6531


3 6531
7 2177
311 311
1

Prime factors of 6531 are 3,7,311. Prime factorization of 6531 in exponential form is:

6531 = 31×71×3111

∴ So by taking common prime factors GCF of 6524 and 6531 is 7

Greatest Common Factor of 6524 and 6531 by matching factors method

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1,2,4,7,14,28,233,466,932,1631,3262,6524

Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1,3,7,21,311,933,2177,6531

Greatest Common Factor

We found the factors and prime factorization of 6524 and 6531. The biggest common factor number is the GCF number.
So the greatest common factor 6524 and 6531 is 7.

Also check out the Least Common Multiple of 6524 and 6531

Properties of GCF 6524 and 6531

(i) The GCF of 6524 and 6531 is associative

GCF of 6524 and 6531 = GCF of 6531 and 6524

Related Greatest Common Factor of 6524

Related Greatest Common Factor of 6531

Frequently Asked Questions on GCF of 6524 and 6531

1. What is the GCF of 6524 and 6531?

Answer: GCF of 6524 and 6531 is 7.

2. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

3. What are the Factors of 6531?

Answer: Factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531. There are 8 integers that are factors of 6531. The greatest factor of 6531 is 6531.

4. How to Find the GCF of 6524 and 6531?

Answer:

Greatest Common Factor of 6524 and 6531 = 7

Step 1: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

Step 2: Find the prime factorization of 6531

6531 = 3 x 7 x 311

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6524 and 6531 is 7