Greatest Common Factor of 7791 and 7797

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 7791, 7797 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7791 and 7797 is 3.

GCF(7791,7797) = 3

GCF of 7791 and 7797

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

GCF of:
and

Greatest Common Factor of 7791 and 7797

GCF of 7791 and 7797 is 3

Prime Factorization of 7791


3 7791
7 2597
7 371
53 53
1

Prime factors of 7791 are 3,7,53. Prime factorization of 7791 in exponential form is:

7791 = 31×72×531

Prime Factorization of 7797


3 7797
23 2599
113 113
1

Prime factors of 7797 are 3,23,113. Prime factorization of 7797 in exponential form is:

7797 = 31×231×1131

∴ So by taking common prime factors GCF of 7791 and 7797 is 3

Greatest Common Factor of 7791 and 7797 by matching factors method

Factors of 7791

List of positive integer factors of 7791 that divides 7791 without a remainder.

1,3,7,21,49,53,147,159,371,1113,2597,7791

Factors of 7797

List of positive integer factors of 7797 that divides 7797 without a remainder.

1,3,23,69,113,339,2599,7797

Greatest Common Factor

We found the factors and prime factorization of 7791 and 7797. The biggest common factor number is the GCF number.
So the greatest common factor 7791 and 7797 is 3.

Also check out the Least Common Multiple of 7791 and 7797

Properties of GCF 7791 and 7797

(i) The GCF of 7791 and 7797 is associative

GCF of 7791 and 7797 = GCF of 7797 and 7791

Related Greatest Common Factor of 7791

Related Greatest Common Factor of 7797

Frequently Asked Questions on GCF of 7791 and 7797

1. What is the GCF of 7791 and 7797?

Answer: GCF of 7791 and 7797 is 3.

2. What are the Factors of 7791?

Answer: Factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791. There are 12 integers that are factors of 7791. The greatest factor of 7791 is 7791.

3. What are the Factors of 7797?

Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.

4. How to Find the GCF of 7791 and 7797?

Answer:

Greatest Common Factor of 7791 and 7797 = 3

Step 1: Find the prime factorization of 7791

7791 = 3 x 7 x 7 x 53

Step 2: Find the prime factorization of 7797

7797 = 3 x 23 x 113

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7791 and 7797 is 3