Greatest Common Factor of 786 and 792

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 786, 792 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 786 and 792 is 6.

GCF(786,792) = 6

GCF of 786 and 792

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

GCF of:
and

Greatest Common Factor of 786 and 792

GCF of 786 and 792 is 6

Prime Factorization of 786


2 786
3 393
131 131
1

Prime factors of 786 are 2,3,131. Prime factorization of 786 in exponential form is:

786 = 21×31×1311

Prime Factorization of 792


2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 792 are 2,3,11. Prime factorization of 792 in exponential form is:

792 = 23×32×111

∴ So by taking common prime factors GCF of 786 and 792 is 6

Greatest Common Factor of 786 and 792 by matching factors method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors and prime factorization of 786 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 786 and 792 is 6.

Also check out the Least Common Multiple of 786 and 792

Properties of GCF 786 and 792

(i) The GCF of 786 and 792 is associative

GCF of 786 and 792 = GCF of 792 and 786

Related Greatest Common Factor of 786

Related Greatest Common Factor of 792

Frequently Asked Questions on GCF of 786 and 792

1. What is the GCF of 786 and 792?

Answer: GCF of 786 and 792 is 6.

2. What are the Factors of 786?

Answer: Factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786. There are 8 integers that are factors of 786. The greatest factor of 786 is 786.

3. What are the Factors of 792?

Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.

4. How to Find the GCF of 786 and 792?

Answer:

Greatest Common Factor of 786 and 792 = 6

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 792

792 = 2 x 2 x 2 x 3 x 3 x 11

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 786 and 792 is 6