Greatest Common Factor of 7791 and 7798

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, 7798 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7791 and 7798 is 7.

GCF(7791,7798) = 7

GCF of 7791 and 7798

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

GCF of:
and

Greatest Common Factor of 7791 and 7798

GCF of 7791 and 7798 is 7

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 7798


2 7798
7 3899
557 557
1

Prime factors of 7798 are 2,7,557. Prime factorization of 7798 in exponential form is:

7798 = 21×71×5571

∴ So by taking common prime factors GCF of 7791 and 7798 is 7

Greatest Common Factor of 7791 and 7798 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 7798

List of positive integer factors of 7798 that divides 7798 without a remainder.

1,2,7,14,557,1114,3899,7798

Greatest Common Factor

We found the factors and prime factorization of 7791 and 7798. The biggest common factor number is the GCF number.
So the greatest common factor 7791 and 7798 is 7.

Also check out the Least Common Multiple of 7791 and 7798

Properties of GCF 7791 and 7798

(i) The GCF of 7791 and 7798 is associative

GCF of 7791 and 7798 = GCF of 7798 and 7791

Related Greatest Common Factor of 7791

Related Greatest Common Factor of 7798

Frequently Asked Questions on GCF of 7791 and 7798

1. What is the GCF of 7791 and 7798?

Answer: GCF of 7791 and 7798 is 7.

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 7798?

Answer: Factors of 7798 are 1, 2, 7, 14, 557, 1114, 3899, 7798. There are 8 integers that are factors of 7798. The greatest factor of 7798 is 7798.

4. How to Find the GCF of 7791 and 7798?

Answer:

Greatest Common Factor of 7791 and 7798 = 7

Step 1: Find the prime factorization of 7791

7791 = 3 x 7 x 7 x 53

Step 2: Find the prime factorization of 7798

7798 = 2 x 7 x 557

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 7791 and 7798 is 7