Greatest Common Factor of 791 and 799

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

Greatest common factor (GCF) of 791 and 799 is 1.

GCF(791,799) = 1

GCF of 791 and 799

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

GCF of:
and

Greatest Common Factor of 791 and 799

GCF of 791 and 799 is 1

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 799


17 799
47 47
1

Prime factors of 799 are 17,47. Prime factorization of 799 in exponential form is:

799 = 171×471

∴ So by taking common prime factors GCF of 791 and 799 is 1

Greatest Common Factor of 791 and 799 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 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors and prime factorization of 791 and 799. The biggest common factor number is the GCF number.
So the greatest common factor 791 and 799 is 1.

Also check out the Least Common Multiple of 791 and 799

Properties of GCF 791 and 799

(i) The GCF of 791 and 799 is associative

GCF of 791 and 799 = GCF of 799 and 791

Related Greatest Common Factor of 791

Related Greatest Common Factor of 799

Frequently Asked Questions on GCF of 791 and 799

1. What is the GCF of 791 and 799?

Answer: GCF of 791 and 799 is 1.

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 799?

Answer: Factors of 799 are 1, 17, 47, 799. There are 4 integers that are factors of 799. The greatest factor of 799 is 799.

4. How to Find the GCF of 791 and 799?

Answer:

Greatest Common Factor of 791 and 799 = 1

Step 1: Find the prime factorization of 791

791 = 7 x 113

Step 2: Find the prime factorization of 799

799 = 17 x 47

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 791 and 799 is 1