Greatest Common Factor of 792 and 795

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 792, 795 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 792 and 795 is 3.

GCF(792,795) = 3

GCF of 792 and 795

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

GCF of:
and

Greatest Common Factor of 792 and 795

GCF of 792 and 795 is 3

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

Prime Factorization of 795


3 795
5 265
53 53
1

Prime factors of 795 are 3,5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

∴ So by taking common prime factors GCF of 792 and 795 is 3

Greatest Common Factor of 792 and 795 by matching factors method

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

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors and prime factorization of 792 and 795. The biggest common factor number is the GCF number.
So the greatest common factor 792 and 795 is 3.

Also check out the Least Common Multiple of 792 and 795

Properties of GCF 792 and 795

(i) The GCF of 792 and 795 is associative

GCF of 792 and 795 = GCF of 795 and 792

Related Greatest Common Factor of 792

Related Greatest Common Factor of 795

Frequently Asked Questions on GCF of 792 and 795

1. What is the GCF of 792 and 795?

Answer: GCF of 792 and 795 is 3.

2. 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.

3. What are the Factors of 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

4. How to Find the GCF of 792 and 795?

Answer:

Greatest Common Factor of 792 and 795 = 3

Step 1: Find the prime factorization of 792

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

Step 2: Find the prime factorization of 795

795 = 3 x 5 x 53

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

GCF = 3

Step 4: Therefore, the greatest common factor of 792 and 795 is 3