Greatest Common Factor of 6790 and 6797

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 6790, 6797 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6790 and 6797 is 7.

GCF(6790,6797) = 7

GCF of 6790 and 6797

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

GCF of:
and

Greatest Common Factor of 6790 and 6797

GCF of 6790 and 6797 is 7

Prime Factorization of 6790


2 6790
5 3395
7 679
97 97
1

Prime factors of 6790 are 2,5,7,97. Prime factorization of 6790 in exponential form is:

6790 = 21×51×71×971

Prime Factorization of 6797


7 6797
971 971
1

Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:

6797 = 71×9711

∴ So by taking common prime factors GCF of 6790 and 6797 is 7

Greatest Common Factor of 6790 and 6797 by matching factors method

Factors of 6790

List of positive integer factors of 6790 that divides 6790 without a remainder.

1,2,5,7,10,14,35,70,97,194,485,679,970,1358,3395,6790

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1,7,971,6797

Greatest Common Factor

We found the factors and prime factorization of 6790 and 6797. The biggest common factor number is the GCF number.
So the greatest common factor 6790 and 6797 is 7.

Also check out the Least Common Multiple of 6790 and 6797

Properties of GCF 6790 and 6797

(i) The GCF of 6790 and 6797 is associative

GCF of 6790 and 6797 = GCF of 6797 and 6790

Related Greatest Common Factor of 6790

Related Greatest Common Factor of 6797

Frequently Asked Questions on GCF of 6790 and 6797

1. What is the GCF of 6790 and 6797?

Answer: GCF of 6790 and 6797 is 7.

2. What are the Factors of 6790?

Answer: Factors of 6790 are 1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790. There are 16 integers that are factors of 6790. The greatest factor of 6790 is 6790.

3. What are the Factors of 6797?

Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.

4. How to Find the GCF of 6790 and 6797?

Answer:

Greatest Common Factor of 6790 and 6797 = 7

Step 1: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

Step 2: Find the prime factorization of 6797

6797 = 7 x 971

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6790 and 6797 is 7