Greatest Common Factor of 6500 and 6506

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, 6506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6500 and 6506 is 2.

GCF(6500,6506) = 2

GCF of 6500 and 6506

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

GCF of:
and

Greatest Common Factor of 6500 and 6506

GCF of 6500 and 6506 is 2

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 6506


2 6506
3253 3253
1

Prime factors of 6506 are 2,3253. Prime factorization of 6506 in exponential form is:

6506 = 21×32531

∴ So by taking common prime factors GCF of 6500 and 6506 is 2

Greatest Common Factor of 6500 and 6506 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 6506

List of positive integer factors of 6506 that divides 6506 without a remainder.

1,2,3253,6506

Greatest Common Factor

We found the factors and prime factorization of 6500 and 6506. The biggest common factor number is the GCF number.
So the greatest common factor 6500 and 6506 is 2.

Also check out the Least Common Multiple of 6500 and 6506

Properties of GCF 6500 and 6506

(i) The GCF of 6500 and 6506 is associative

GCF of 6500 and 6506 = GCF of 6506 and 6500

Related Greatest Common Factor of 6500

Related Greatest Common Factor of 6506

Frequently Asked Questions on GCF of 6500 and 6506

1. What is the GCF of 6500 and 6506?

Answer: GCF of 6500 and 6506 is 2.

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 6506?

Answer: Factors of 6506 are 1, 2, 3253, 6506. There are 4 integers that are factors of 6506. The greatest factor of 6506 is 6506.

4. How to Find the GCF of 6500 and 6506?

Answer:

Greatest Common Factor of 6500 and 6506 = 2

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 6506

6506 = 2 x 3253

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 6500 and 6506 is 2