Greatest Common Factor of 791 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 791, 798 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 791 and 798 is 7.

GCF(791,798) = 7

GCF of 791 and 798

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

GCF of:
and

Greatest Common Factor of 791 and 798

GCF of 791 and 798 is 7

Prime Factorization of 791


7 791
113 113
1

Prime factors of 791 are 7,113. Prime factorization of 791 in exponential form is:

791 = 71×1131

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 791 and 798 is 7

Greatest Common Factor of 791 and 798 by matching factors method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

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 791 and 798. The biggest common factor number is the GCF number.
So the greatest common factor 791 and 798 is 7.

Also check out the Least Common Multiple of 791 and 798

Properties of GCF 791 and 798

(i) The GCF of 791 and 798 is associative

GCF of 791 and 798 = GCF of 798 and 791

Related Greatest Common Factor of 791

Related Greatest Common Factor of 798

Frequently Asked Questions on GCF of 791 and 798

1. What is the GCF of 791 and 798?

Answer: GCF of 791 and 798 is 7.

2. What are the Factors of 791?

Answer: Factors of 791 are 1, 7, 113, 791. There are 4 integers that are factors of 791. The greatest factor of 791 is 791.

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 791 and 798?

Answer:

Greatest Common Factor of 791 and 798 = 7

Step 1: Find the prime factorization of 791

791 = 7 x 113

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 = 7

Step 4: Therefore, the greatest common factor of 791 and 798 is 7