Greatest Common Factor of 6792 and 6800

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, 6800 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6792 and 6800 is 8.

GCF(6792,6800) = 8

GCF of 6792 and 6800

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

GCF of:
and

Greatest Common Factor of 6792 and 6800

GCF of 6792 and 6800 is 8

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 6800


2 6800
2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 6800 are 2,5,17. Prime factorization of 6800 in exponential form is:

6800 = 24×52×171

∴ So by taking common prime factors GCF of 6792 and 6800 is 8

Greatest Common Factor of 6792 and 6800 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 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors and prime factorization of 6792 and 6800. The biggest common factor number is the GCF number.
So the greatest common factor 6792 and 6800 is 8.

Also check out the Least Common Multiple of 6792 and 6800

Properties of GCF 6792 and 6800

(i) The GCF of 6792 and 6800 is associative

GCF of 6792 and 6800 = GCF of 6800 and 6792

Related Greatest Common Factor of 6792

Related Greatest Common Factor of 6800

Frequently Asked Questions on GCF of 6792 and 6800

1. What is the GCF of 6792 and 6800?

Answer: GCF of 6792 and 6800 is 8.

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 6800?

Answer: Factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800. There are 30 integers that are factors of 6800. The greatest factor of 6800 is 6800.

4. How to Find the GCF of 6792 and 6800?

Answer:

Greatest Common Factor of 6792 and 6800 = 8

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 6800

6800 = 2 x 2 x 2 x 2 x 5 x 5 x 17

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6792 and 6800 is 8