Greatest Common Factor of 6498 and 6500

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 6498, 6500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6498 and 6500 is 2.

GCF(6498,6500) = 2

GCF of 6498 and 6500

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

GCF of:
and

Greatest Common Factor of 6498 and 6500

GCF of 6498 and 6500 is 2

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

Prime Factorization of 6500


2 6500
2 3250
5 1625
5 325
5 65
13 13
1

Prime factors of 6500 are 2,5,13. Prime factorization of 6500 in exponential form is:

6500 = 22×53×131

∴ So by taking common prime factors GCF of 6498 and 6500 is 2

Greatest Common Factor of 6498 and 6500 by matching factors method

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

Factors of 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Greatest Common Factor

We found the factors and prime factorization of 6498 and 6500. The biggest common factor number is the GCF number.
So the greatest common factor 6498 and 6500 is 2.

Also check out the Least Common Multiple of 6498 and 6500

Properties of GCF 6498 and 6500

(i) The GCF of 6498 and 6500 is associative

GCF of 6498 and 6500 = GCF of 6500 and 6498

Related Greatest Common Factor of 6498

Related Greatest Common Factor of 6500

Frequently Asked Questions on GCF of 6498 and 6500

1. What is the GCF of 6498 and 6500?

Answer: GCF of 6498 and 6500 is 2.

2. 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.

3. What are the Factors of 6500?

Answer: Factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500. There are 24 integers that are factors of 6500. The greatest factor of 6500 is 6500.

4. How to Find the GCF of 6498 and 6500?

Answer:

Greatest Common Factor of 6498 and 6500 = 2

Step 1: Find the prime factorization of 6498

6498 = 2 x 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 6500

6500 = 2 x 2 x 5 x 5 x 5 x 13

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 6498 and 6500 is 2