Greatest Common Factor of 6495 and 6498

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 6495, 6498 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6495 and 6498 is 3.

GCF(6495,6498) = 3

GCF of 6495 and 6498

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

GCF of:
and

Greatest Common Factor of 6495 and 6498

GCF of 6495 and 6498 is 3

Prime Factorization of 6495


3 6495
5 2165
433 433
1

Prime factors of 6495 are 3,5,433. Prime factorization of 6495 in exponential form is:

6495 = 31×51×4331

Prime Factorization of 6498


2 6498
3 3249
3 1083
19 361
19 19
1

Prime factors of 6498 are 2,3,19. Prime factorization of 6498 in exponential form is:

6498 = 21×32×192

∴ So by taking common prime factors GCF of 6495 and 6498 is 3

Greatest Common Factor of 6495 and 6498 by matching factors method

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1,3,5,15,433,1299,2165,6495

Factors of 6498

List of positive integer factors of 6498 that divides 6498 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498

Greatest Common Factor

We found the factors and prime factorization of 6495 and 6498. The biggest common factor number is the GCF number.
So the greatest common factor 6495 and 6498 is 3.

Also check out the Least Common Multiple of 6495 and 6498

Properties of GCF 6495 and 6498

(i) The GCF of 6495 and 6498 is associative

GCF of 6495 and 6498 = GCF of 6498 and 6495

Related Greatest Common Factor of 6495

Related Greatest Common Factor of 6498

Frequently Asked Questions on GCF of 6495 and 6498

1. What is the GCF of 6495 and 6498?

Answer: GCF of 6495 and 6498 is 3.

2. What are the Factors of 6495?

Answer: Factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495. There are 8 integers that are factors of 6495. The greatest factor of 6495 is 6495.

3. What are the Factors of 6498?

Answer: Factors of 6498 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249, 6498. There are 18 integers that are factors of 6498. The greatest factor of 6498 is 6498.

4. How to Find the GCF of 6495 and 6498?

Answer:

Greatest Common Factor of 6495 and 6498 = 3

Step 1: Find the prime factorization of 6495

6495 = 3 x 5 x 433

Step 2: Find the prime factorization of 6498

6498 = 2 x 3 x 3 x 19 x 19

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 6495 and 6498 is 3