Greatest Common Factor of 6786 and 6792

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, 6792 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6786 and 6792 is 6.

GCF(6786,6792) = 6

GCF of 6786 and 6792

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

GCF of:
and

Greatest Common Factor of 6786 and 6792

GCF of 6786 and 6792 is 6

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 6792


2 6792
2 3396
2 1698
3 849
283 283
1

Prime factors of 6792 are 2,3,283. Prime factorization of 6792 in exponential form is:

6792 = 23×31×2831

∴ So by taking common prime factors GCF of 6786 and 6792 is 6

Greatest Common Factor of 6786 and 6792 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 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792

Greatest Common Factor

We found the factors and prime factorization of 6786 and 6792. The biggest common factor number is the GCF number.
So the greatest common factor 6786 and 6792 is 6.

Also check out the Least Common Multiple of 6786 and 6792

Properties of GCF 6786 and 6792

(i) The GCF of 6786 and 6792 is associative

GCF of 6786 and 6792 = GCF of 6792 and 6786

Related Greatest Common Factor of 6786

Related Greatest Common Factor of 6792

Frequently Asked Questions on GCF of 6786 and 6792

1. What is the GCF of 6786 and 6792?

Answer: GCF of 6786 and 6792 is 6.

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 6792?

Answer: Factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792. There are 16 integers that are factors of 6792. The greatest factor of 6792 is 6792.

4. How to Find the GCF of 6786 and 6792?

Answer:

Greatest Common Factor of 6786 and 6792 = 6

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 6792

6792 = 2 x 2 x 2 x 3 x 283

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6786 and 6792 is 6