Greatest Common Factor of 6813 and 6817

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 6813, 6817 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6813 and 6817 is 1.

GCF(6813,6817) = 1

GCF of 6813 and 6817

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

GCF of:
and

Greatest Common Factor of 6813 and 6817

GCF of 6813 and 6817 is 1

Prime Factorization of 6813


3 6813
3 2271
757 757
1

Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:

6813 = 32×7571

Prime Factorization of 6817


17 6817
401 401
1

Prime factors of 6817 are 17,401. Prime factorization of 6817 in exponential form is:

6817 = 171×4011

∴ So by taking common prime factors GCF of 6813 and 6817 is 1

Greatest Common Factor of 6813 and 6817 by matching factors method

Factors of 6813

List of positive integer factors of 6813 that divides 6813 without a remainder.

1,3,9,757,2271,6813

Factors of 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1,17,401,6817

Greatest Common Factor

We found the factors and prime factorization of 6813 and 6817. The biggest common factor number is the GCF number.
So the greatest common factor 6813 and 6817 is 1.

Also check out the Least Common Multiple of 6813 and 6817

Properties of GCF 6813 and 6817

(i) The GCF of 6813 and 6817 is associative

GCF of 6813 and 6817 = GCF of 6817 and 6813

Frequently Asked Questions on GCF of 6813 and 6817

1. What is the GCF of 6813 and 6817?

Answer: GCF of 6813 and 6817 is 1.

2. What are the Factors of 6813?

Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.

3. What are the Factors of 6817?

Answer: Factors of 6817 are 1, 17, 401, 6817. There are 4 integers that are factors of 6817. The greatest factor of 6817 is 6817.

4. How to Find the GCF of 6813 and 6817?

Answer:

Greatest Common Factor of 6813 and 6817 = 1

Step 1: Find the prime factorization of 6813

6813 = 3 x 3 x 757

Step 2: Find the prime factorization of 6817

6817 = 17 x 401

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 6813 and 6817 is 1