Greatest Common Factor of 7659 and 7665

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 7659, 7665 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7659 and 7665 is 3.

GCF(7659,7665) = 3

GCF of 7659 and 7665

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

GCF of:
and

Greatest Common Factor of 7659 and 7665

GCF of 7659 and 7665 is 3

Prime Factorization of 7659


3 7659
3 2553
23 851
37 37
1

Prime factors of 7659 are 3,23,37. Prime factorization of 7659 in exponential form is:

7659 = 32×231×371

Prime Factorization of 7665


3 7665
5 2555
7 511
73 73
1

Prime factors of 7665 are 3,5,7,73. Prime factorization of 7665 in exponential form is:

7665 = 31×51×71×731

∴ So by taking common prime factors GCF of 7659 and 7665 is 3

Greatest Common Factor of 7659 and 7665 by matching factors method

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1,3,9,23,37,69,111,207,333,851,2553,7659

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Greatest Common Factor

We found the factors and prime factorization of 7659 and 7665. The biggest common factor number is the GCF number.
So the greatest common factor 7659 and 7665 is 3.

Also check out the Least Common Multiple of 7659 and 7665

Properties of GCF 7659 and 7665

(i) The GCF of 7659 and 7665 is associative

GCF of 7659 and 7665 = GCF of 7665 and 7659

Related Greatest Common Factor of 7659

Related Greatest Common Factor of 7665

Frequently Asked Questions on GCF of 7659 and 7665

1. What is the GCF of 7659 and 7665?

Answer: GCF of 7659 and 7665 is 3.

2. What are the Factors of 7659?

Answer: Factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659. There are 12 integers that are factors of 7659. The greatest factor of 7659 is 7659.

3. What are the Factors of 7665?

Answer: Factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665. There are 16 integers that are factors of 7665. The greatest factor of 7665 is 7665.

4. How to Find the GCF of 7659 and 7665?

Answer:

Greatest Common Factor of 7659 and 7665 = 3

Step 1: Find the prime factorization of 7659

7659 = 3 x 3 x 23 x 37

Step 2: Find the prime factorization of 7665

7665 = 3 x 5 x 7 x 73

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 7659 and 7665 is 3