Greatest Common Factor of 6500 and 6508

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 6500, 6508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6500 and 6508 is 4.

GCF(6500,6508) = 4

GCF of 6500 and 6508

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

GCF of:
and

Greatest Common Factor of 6500 and 6508

GCF of 6500 and 6508 is 4

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

Prime Factorization of 6508


2 6508
2 3254
1627 1627
1

Prime factors of 6508 are 2,1627. Prime factorization of 6508 in exponential form is:

6508 = 22×16271

∴ So by taking common prime factors GCF of 6500 and 6508 is 4

Greatest Common Factor of 6500 and 6508 by matching factors method

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

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1,2,4,1627,3254,6508

Greatest Common Factor

We found the factors and prime factorization of 6500 and 6508. The biggest common factor number is the GCF number.
So the greatest common factor 6500 and 6508 is 4.

Also check out the Least Common Multiple of 6500 and 6508

Properties of GCF 6500 and 6508

(i) The GCF of 6500 and 6508 is associative

GCF of 6500 and 6508 = GCF of 6508 and 6500

Related Greatest Common Factor of 6500

Related Greatest Common Factor of 6508

Frequently Asked Questions on GCF of 6500 and 6508

1. What is the GCF of 6500 and 6508?

Answer: GCF of 6500 and 6508 is 4.

2. 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.

3. What are the Factors of 6508?

Answer: Factors of 6508 are 1, 2, 4, 1627, 3254, 6508. There are 6 integers that are factors of 6508. The greatest factor of 6508 is 6508.

4. How to Find the GCF of 6500 and 6508?

Answer:

Greatest Common Factor of 6500 and 6508 = 4

Step 1: Find the prime factorization of 6500

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

Step 2: Find the prime factorization of 6508

6508 = 2 x 2 x 1627

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6500 and 6508 is 4