Greatest Common Factor of 6500 and 6501

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, 6501 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6500 and 6501 is 1.

GCF(6500,6501) = 1

GCF of 6500 and 6501

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

GCF of:
and

Greatest Common Factor of 6500 and 6501

GCF of 6500 and 6501 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 6501


3 6501
11 2167
197 197
1

Prime factors of 6501 are 3,11,197. Prime factorization of 6501 in exponential form is:

6501 = 31×111×1971

∴ So by taking common prime factors GCF of 6500 and 6501 is 1

Greatest Common Factor of 6500 and 6501 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 6501

List of positive integer factors of 6501 that divides 6501 without a remainder.

1,3,11,33,197,591,2167,6501

Greatest Common Factor

We found the factors and prime factorization of 6500 and 6501. The biggest common factor number is the GCF number.
So the greatest common factor 6500 and 6501 is 1.

Also check out the Least Common Multiple of 6500 and 6501

Properties of GCF 6500 and 6501

(i) The GCF of 6500 and 6501 is associative

GCF of 6500 and 6501 = GCF of 6501 and 6500

Related Greatest Common Factor of 6500

Related Greatest Common Factor of 6501

Frequently Asked Questions on GCF of 6500 and 6501

1. What is the GCF of 6500 and 6501?

Answer: GCF of 6500 and 6501 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 6501?

Answer: Factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501. There are 8 integers that are factors of 6501. The greatest factor of 6501 is 6501.

4. How to Find the GCF of 6500 and 6501?

Answer:

Greatest Common Factor of 6500 and 6501 = 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 6501

6501 = 3 x 11 x 197

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 6501 is 1