Greatest Common Factor of 6530 and 6535

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, 6535 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6530 and 6535 is 5.

GCF(6530,6535) = 5

GCF of 6530 and 6535

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

GCF of:
and

Greatest Common Factor of 6530 and 6535

GCF of 6530 and 6535 is 5

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 6535


5 6535
1307 1307
1

Prime factors of 6535 are 5,1307. Prime factorization of 6535 in exponential form is:

6535 = 51×13071

∴ So by taking common prime factors GCF of 6530 and 6535 is 5

Greatest Common Factor of 6530 and 6535 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 6535

List of positive integer factors of 6535 that divides 6535 without a remainder.

1,5,1307,6535

Greatest Common Factor

We found the factors and prime factorization of 6530 and 6535. The biggest common factor number is the GCF number.
So the greatest common factor 6530 and 6535 is 5.

Also check out the Least Common Multiple of 6530 and 6535

Properties of GCF 6530 and 6535

(i) The GCF of 6530 and 6535 is associative

GCF of 6530 and 6535 = GCF of 6535 and 6530

Related Greatest Common Factor of 6530

Related Greatest Common Factor of 6535

Frequently Asked Questions on GCF of 6530 and 6535

1. What is the GCF of 6530 and 6535?

Answer: GCF of 6530 and 6535 is 5.

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 6535?

Answer: Factors of 6535 are 1, 5, 1307, 6535. There are 4 integers that are factors of 6535. The greatest factor of 6535 is 6535.

4. How to Find the GCF of 6530 and 6535?

Answer:

Greatest Common Factor of 6530 and 6535 = 5

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

Step 2: Find the prime factorization of 6535

6535 = 5 x 1307

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6530 and 6535 is 5