Greatest Common Factor of 790 and 796

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 790, 796 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 790 and 796 is 2.

GCF(790,796) = 2

GCF of 790 and 796

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

GCF of:
and

Greatest Common Factor of 790 and 796

GCF of 790 and 796 is 2

Prime Factorization of 790


2 790
5 395
79 79
1

Prime factors of 790 are 2,5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

Prime Factorization of 796


2 796
2 398
199 199
1

Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:

796 = 22×1991

∴ So by taking common prime factors GCF of 790 and 796 is 2

Greatest Common Factor of 790 and 796 by matching factors method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors and prime factorization of 790 and 796. The biggest common factor number is the GCF number.
So the greatest common factor 790 and 796 is 2.

Also check out the Least Common Multiple of 790 and 796

Properties of GCF 790 and 796

(i) The GCF of 790 and 796 is associative

GCF of 790 and 796 = GCF of 796 and 790

Related Greatest Common Factor of 790

Related Greatest Common Factor of 796

Frequently Asked Questions on GCF of 790 and 796

1. What is the GCF of 790 and 796?

Answer: GCF of 790 and 796 is 2.

2. What are the Factors of 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

3. What are the Factors of 796?

Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.

4. How to Find the GCF of 790 and 796?

Answer:

Greatest Common Factor of 790 and 796 = 2

Step 1: Find the prime factorization of 790

790 = 2 x 5 x 79

Step 2: Find the prime factorization of 796

796 = 2 x 2 x 199

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

GCF = 2

Step 4: Therefore, the greatest common factor of 790 and 796 is 2