Greatest Common Factor of 796 and 798

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 796, 798 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 796 and 798 is 2.

GCF(796,798) = 2

GCF of 796 and 798

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

GCF of:
and

Greatest Common Factor of 796 and 798

GCF of 796 and 798 is 2

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

Prime Factorization of 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2,3,7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

∴ So by taking common prime factors GCF of 796 and 798 is 2

Greatest Common Factor of 796 and 798 by matching factors method

Factors of 796

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

1,2,4,199,398,796

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors and prime factorization of 796 and 798. The biggest common factor number is the GCF number.
So the greatest common factor 796 and 798 is 2.

Also check out the Least Common Multiple of 796 and 798

Properties of GCF 796 and 798

(i) The GCF of 796 and 798 is associative

GCF of 796 and 798 = GCF of 798 and 796

Frequently Asked Questions on GCF of 796 and 798

1. What is the GCF of 796 and 798?

Answer: GCF of 796 and 798 is 2.

2. 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.

3. What are the Factors of 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

4. How to Find the GCF of 796 and 798?

Answer:

Greatest Common Factor of 796 and 798 = 2

Step 1: Find the prime factorization of 796

796 = 2 x 2 x 199

Step 2: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

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 796 and 798 is 2