Greatest Common Factor of 660 and 665

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 660, 665 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 660 and 665 is 5.

GCF(660,665) = 5

GCF of 660 and 665

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

GCF of:
and

Greatest Common Factor of 660 and 665

GCF of 660 and 665 is 5

Prime Factorization of 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2,3,5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

Prime Factorization of 665


5 665
7 133
19 19
1

Prime factors of 665 are 5,7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

∴ So by taking common prime factors GCF of 660 and 665 is 5

Greatest Common Factor of 660 and 665 by matching factors method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors and prime factorization of 660 and 665. The biggest common factor number is the GCF number.
So the greatest common factor 660 and 665 is 5.

Also check out the Least Common Multiple of 660 and 665

Properties of GCF 660 and 665

(i) The GCF of 660 and 665 is associative

GCF of 660 and 665 = GCF of 665 and 660

Related Greatest Common Factor of 660

Related Greatest Common Factor of 665

Frequently Asked Questions on GCF of 660 and 665

1. What is the GCF of 660 and 665?

Answer: GCF of 660 and 665 is 5.

2. What are the Factors of 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

3. What are the Factors of 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

4. How to Find the GCF of 660 and 665?

Answer:

Greatest Common Factor of 660 and 665 = 5

Step 1: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 665

665 = 5 x 7 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 660 and 665 is 5