Greatest Common Factor of 6500 and 6505

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, 6505 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6500 and 6505 is 5.

GCF(6500,6505) = 5

GCF of 6500 and 6505

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

GCF of:
and

Greatest Common Factor of 6500 and 6505

GCF of 6500 and 6505 is 5

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 6505


5 6505
1301 1301
1

Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:

6505 = 51×13011

∴ So by taking common prime factors GCF of 6500 and 6505 is 5

Greatest Common Factor of 6500 and 6505 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 6505

List of positive integer factors of 6505 that divides 6505 without a remainder.

1,5,1301,6505

Greatest Common Factor

We found the factors and prime factorization of 6500 and 6505. The biggest common factor number is the GCF number.
So the greatest common factor 6500 and 6505 is 5.

Also check out the Least Common Multiple of 6500 and 6505

Properties of GCF 6500 and 6505

(i) The GCF of 6500 and 6505 is associative

GCF of 6500 and 6505 = GCF of 6505 and 6500

Related Greatest Common Factor of 6500

Related Greatest Common Factor of 6505

Frequently Asked Questions on GCF of 6500 and 6505

1. What is the GCF of 6500 and 6505?

Answer: GCF of 6500 and 6505 is 5.

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 6505?

Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.

4. How to Find the GCF of 6500 and 6505?

Answer:

Greatest Common Factor of 6500 and 6505 = 5

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 6505

6505 = 5 x 1301

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 6500 and 6505 is 5