Greatest Common Factor of 6786 and 6790

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 6786, 6790 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6786 and 6790 is 2.

GCF(6786,6790) = 2

GCF of 6786 and 6790

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

GCF of:
and

Greatest Common Factor of 6786 and 6790

GCF of 6786 and 6790 is 2

Prime Factorization of 6786


2 6786
3 3393
3 1131
13 377
29 29
1

Prime factors of 6786 are 2,3,13,29. Prime factorization of 6786 in exponential form is:

6786 = 21×32×131×291

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

∴ So by taking common prime factors GCF of 6786 and 6790 is 2

Greatest Common Factor of 6786 and 6790 by matching factors method

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

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

Greatest Common Factor

We found the factors and prime factorization of 6786 and 6790. The biggest common factor number is the GCF number.
So the greatest common factor 6786 and 6790 is 2.

Also check out the Least Common Multiple of 6786 and 6790

Properties of GCF 6786 and 6790

(i) The GCF of 6786 and 6790 is associative

GCF of 6786 and 6790 = GCF of 6790 and 6786

Related Greatest Common Factor of 6786

Related Greatest Common Factor of 6790

Frequently Asked Questions on GCF of 6786 and 6790

1. What is the GCF of 6786 and 6790?

Answer: GCF of 6786 and 6790 is 2.

2. What are the Factors of 6786?

Answer: Factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786. There are 24 integers that are factors of 6786. The greatest factor of 6786 is 6786.

3. 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.

4. How to Find the GCF of 6786 and 6790?

Answer:

Greatest Common Factor of 6786 and 6790 = 2

Step 1: Find the prime factorization of 6786

6786 = 2 x 3 x 3 x 13 x 29

Step 2: Find the prime factorization of 6790

6790 = 2 x 5 x 7 x 97

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6786 and 6790 is 2