Greatest Common Factor of 792 and 797

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, 797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 792 and 797 is 1.

GCF(792,797) = 1

GCF of 792 and 797

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

GCF of:
and

Greatest Common Factor of 792 and 797

GCF of 792 and 797 is 1

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 797


797 797
1

Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:

797 = 7971

∴ So by taking common prime factors GCF of 792 and 797 is 1

Greatest Common Factor of 792 and 797 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 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors and prime factorization of 792 and 797. The biggest common factor number is the GCF number.
So the greatest common factor 792 and 797 is 1.

Also check out the Least Common Multiple of 792 and 797

Properties of GCF 792 and 797

(i) The GCF of 792 and 797 is associative

GCF of 792 and 797 = GCF of 797 and 792

Frequently Asked Questions on GCF of 792 and 797

1. What is the GCF of 792 and 797?

Answer: GCF of 792 and 797 is 1.

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 797?

Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.

4. How to Find the GCF of 792 and 797?

Answer:

Greatest Common Factor of 792 and 797 = 1

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 797

797 = 797

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 792 and 797 is 1