Greatest Common Factor of 6792 and 6798

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 6792, 6798 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6792 and 6798 is 6.

GCF(6792,6798) = 6

GCF of 6792 and 6798

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

GCF of:
and

Greatest Common Factor of 6792 and 6798

GCF of 6792 and 6798 is 6

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

Prime Factorization of 6798


2 6798
3 3399
11 1133
103 103
1

Prime factors of 6798 are 2,3,11,103. Prime factorization of 6798 in exponential form is:

6798 = 21×31×111×1031

∴ So by taking common prime factors GCF of 6792 and 6798 is 6

Greatest Common Factor of 6792 and 6798 by matching factors method

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

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798

Greatest Common Factor

We found the factors and prime factorization of 6792 and 6798. The biggest common factor number is the GCF number.
So the greatest common factor 6792 and 6798 is 6.

Also check out the Least Common Multiple of 6792 and 6798

Properties of GCF 6792 and 6798

(i) The GCF of 6792 and 6798 is associative

GCF of 6792 and 6798 = GCF of 6798 and 6792

Related Greatest Common Factor of 6792

Related Greatest Common Factor of 6798

Frequently Asked Questions on GCF of 6792 and 6798

1. What is the GCF of 6792 and 6798?

Answer: GCF of 6792 and 6798 is 6.

2. 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.

3. What are the Factors of 6798?

Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.

4. How to Find the GCF of 6792 and 6798?

Answer:

Greatest Common Factor of 6792 and 6798 = 6

Step 1: Find the prime factorization of 6792

6792 = 2 x 2 x 2 x 3 x 283

Step 2: Find the prime factorization of 6798

6798 = 2 x 3 x 11 x 103

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 6792 and 6798 is 6