Greatest Common Factor of 795 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 795, 797 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 795 and 797 is 1.

GCF(795,797) = 1

GCF of 795 and 797

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

GCF of:
and

Greatest Common Factor of 795 and 797

GCF of 795 and 797 is 1

Prime Factorization of 795


3 795
5 265
53 53
1

Prime factors of 795 are 3,5,53. Prime factorization of 795 in exponential form is:

795 = 31×51×531

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 795 and 797 is 1

Greatest Common Factor of 795 and 797 by matching factors method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

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 795 and 797. The biggest common factor number is the GCF number.
So the greatest common factor 795 and 797 is 1.

Also check out the Least Common Multiple of 795 and 797

Properties of GCF 795 and 797

(i) The GCF of 795 and 797 is associative

GCF of 795 and 797 = GCF of 797 and 795

Related Greatest Common Factor of 795

Related Greatest Common Factor of 797

Frequently Asked Questions on GCF of 795 and 797

1. What is the GCF of 795 and 797?

Answer: GCF of 795 and 797 is 1.

2. What are the Factors of 795?

Answer: Factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795. There are 8 integers that are factors of 795. The greatest factor of 795 is 795.

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 795 and 797?

Answer:

Greatest Common Factor of 795 and 797 = 1

Step 1: Find the prime factorization of 795

795 = 3 x 5 x 53

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 795 and 797 is 1