Greatest Common Factor of 6500 and 6504

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, 6504 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6500 and 6504 is 4.

GCF(6500,6504) = 4

GCF of 6500 and 6504

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

GCF of:
and

Greatest Common Factor of 6500 and 6504

GCF of 6500 and 6504 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 6504


2 6504
2 3252
2 1626
3 813
271 271
1

Prime factors of 6504 are 2,3,271. Prime factorization of 6504 in exponential form is:

6504 = 23×31×2711

∴ So by taking common prime factors GCF of 6500 and 6504 is 4

Greatest Common Factor of 6500 and 6504 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 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504

Greatest Common Factor

We found the factors and prime factorization of 6500 and 6504. The biggest common factor number is the GCF number.
So the greatest common factor 6500 and 6504 is 4.

Also check out the Least Common Multiple of 6500 and 6504

Properties of GCF 6500 and 6504

(i) The GCF of 6500 and 6504 is associative

GCF of 6500 and 6504 = GCF of 6504 and 6500

Related Greatest Common Factor of 6500

Related Greatest Common Factor of 6504

Frequently Asked Questions on GCF of 6500 and 6504

1. What is the GCF of 6500 and 6504?

Answer: GCF of 6500 and 6504 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 6504?

Answer: Factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504. There are 16 integers that are factors of 6504. The greatest factor of 6504 is 6504.

4. How to Find the GCF of 6500 and 6504?

Answer:

Greatest Common Factor of 6500 and 6504 = 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 6504

6504 = 2 x 2 x 2 x 3 x 271

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 6504 is 4