Greatest Common Factor of 7785 and 7791

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 7785, 7791 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7785 and 7791 is 3.

GCF(7785,7791) = 3

GCF of 7785 and 7791

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

GCF of:
and

Greatest Common Factor of 7785 and 7791

GCF of 7785 and 7791 is 3

Prime Factorization of 7785


3 7785
3 2595
5 865
173 173
1

Prime factors of 7785 are 3,5,173. Prime factorization of 7785 in exponential form is:

7785 = 32×51×1731

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

∴ So by taking common prime factors GCF of 7785 and 7791 is 3

Greatest Common Factor of 7785 and 7791 by matching factors method

Factors of 7785

List of positive integer factors of 7785 that divides 7785 without a remainder.

1,3,5,9,15,45,173,519,865,1557,2595,7785

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

Greatest Common Factor

We found the factors and prime factorization of 7785 and 7791. The biggest common factor number is the GCF number.
So the greatest common factor 7785 and 7791 is 3.

Also check out the Least Common Multiple of 7785 and 7791

Properties of GCF 7785 and 7791

(i) The GCF of 7785 and 7791 is associative

GCF of 7785 and 7791 = GCF of 7791 and 7785

Related Greatest Common Factor of 7785

Related Greatest Common Factor of 7791

Frequently Asked Questions on GCF of 7785 and 7791

1. What is the GCF of 7785 and 7791?

Answer: GCF of 7785 and 7791 is 3.

2. What are the Factors of 7785?

Answer: Factors of 7785 are 1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595, 7785. There are 12 integers that are factors of 7785. The greatest factor of 7785 is 7785.

3. 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.

4. How to Find the GCF of 7785 and 7791?

Answer:

Greatest Common Factor of 7785 and 7791 = 3

Step 1: Find the prime factorization of 7785

7785 = 3 x 3 x 5 x 173

Step 2: Find the prime factorization of 7791

7791 = 3 x 7 x 7 x 53

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 7785 and 7791 is 3