Greatest Common Factor of 6500 and 6503

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, 6503 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6500 and 6503 is 1.

GCF(6500,6503) = 1

GCF of 6500 and 6503

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

GCF of:
and

Greatest Common Factor of 6500 and 6503

GCF of 6500 and 6503 is 1

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 6503


7 6503
929 929
1

Prime factors of 6503 are 7,929. Prime factorization of 6503 in exponential form is:

6503 = 71×9291

∴ So by taking common prime factors GCF of 6500 and 6503 is 1

Greatest Common Factor of 6500 and 6503 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 6503

List of positive integer factors of 6503 that divides 6503 without a remainder.

1,7,929,6503

Greatest Common Factor

We found the factors and prime factorization of 6500 and 6503. The biggest common factor number is the GCF number.
So the greatest common factor 6500 and 6503 is 1.

Also check out the Least Common Multiple of 6500 and 6503

Properties of GCF 6500 and 6503

(i) The GCF of 6500 and 6503 is associative

GCF of 6500 and 6503 = GCF of 6503 and 6500

Related Greatest Common Factor of 6500

Related Greatest Common Factor of 6503

Frequently Asked Questions on GCF of 6500 and 6503

1. What is the GCF of 6500 and 6503?

Answer: GCF of 6500 and 6503 is 1.

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 6503?

Answer: Factors of 6503 are 1, 7, 929, 6503. There are 4 integers that are factors of 6503. The greatest factor of 6503 is 6503.

4. How to Find the GCF of 6500 and 6503?

Answer:

Greatest Common Factor of 6500 and 6503 = 1

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 6503

6503 = 7 x 929

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6500 and 6503 is 1