Greatest Common Factor of 6530 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 6530, 6538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6530 and 6538 is 2.

GCF(6530,6538) = 2

GCF of 6530 and 6538

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

GCF of:
and

Greatest Common Factor of 6530 and 6538

GCF of 6530 and 6538 is 2

Prime Factorization of 6530


2 6530
5 3265
653 653
1

Prime factors of 6530 are 2,5,653. Prime factorization of 6530 in exponential form is:

6530 = 21×51×6531

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 6530 and 6538 is 2

Greatest Common Factor of 6530 and 6538 by matching factors method

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

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 6530 and 6538. The biggest common factor number is the GCF number.
So the greatest common factor 6530 and 6538 is 2.

Also check out the Least Common Multiple of 6530 and 6538

Properties of GCF 6530 and 6538

(i) The GCF of 6530 and 6538 is associative

GCF of 6530 and 6538 = GCF of 6538 and 6530

Related Greatest Common Factor of 6530

Related Greatest Common Factor of 6538

Frequently Asked Questions on GCF of 6530 and 6538

1. What is the GCF of 6530 and 6538?

Answer: GCF of 6530 and 6538 is 2.

2. What are the Factors of 6530?

Answer: Factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530. There are 8 integers that are factors of 6530. The greatest factor of 6530 is 6530.

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 6530 and 6538?

Answer:

Greatest Common Factor of 6530 and 6538 = 2

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

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 = 2

Step 4: Therefore, the greatest common factor of 6530 and 6538 is 2