Greatest Common Factor of 6531 and 6538

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 6531, 6538 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6531 and 6538 is 7.

GCF(6531,6538) = 7

GCF of 6531 and 6538

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

GCF of:
and

Greatest Common Factor of 6531 and 6538

GCF of 6531 and 6538 is 7

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

Prime Factorization of 6538


2 6538
7 3269
467 467
1

Prime factors of 6538 are 2,7,467. Prime factorization of 6538 in exponential form is:

6538 = 21×71×4671

∴ So by taking common prime factors GCF of 6531 and 6538 is 7

Greatest Common Factor of 6531 and 6538 by matching factors method

Factors of 6531

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

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

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1,2,7,14,467,934,3269,6538

Greatest Common Factor

We found the factors and prime factorization of 6531 and 6538. The biggest common factor number is the GCF number.
So the greatest common factor 6531 and 6538 is 7.

Also check out the Least Common Multiple of 6531 and 6538

Properties of GCF 6531 and 6538

(i) The GCF of 6531 and 6538 is associative

GCF of 6531 and 6538 = GCF of 6538 and 6531

Related Greatest Common Factor of 6531

Related Greatest Common Factor of 6538

Frequently Asked Questions on GCF of 6531 and 6538

1. What is the GCF of 6531 and 6538?

Answer: GCF of 6531 and 6538 is 7.

2. 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.

3. What are the Factors of 6538?

Answer: Factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538. There are 8 integers that are factors of 6538. The greatest factor of 6538 is 6538.

4. How to Find the GCF of 6531 and 6538?

Answer:

Greatest Common Factor of 6531 and 6538 = 7

Step 1: Find the prime factorization of 6531

6531 = 3 x 7 x 311

Step 2: Find the prime factorization of 6538

6538 = 2 x 7 x 467

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 6531 and 6538 is 7