Greatest Common Factor of 657 and 660

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 657, 660 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 657 and 660 is 3.

GCF(657,660) = 3

GCF of 657 and 660

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

GCF of:
and

Greatest Common Factor of 657 and 660

GCF of 657 and 660 is 3

Prime Factorization of 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

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

∴ So by taking common prime factors GCF of 657 and 660 is 3

Greatest Common Factor of 657 and 660 by matching factors method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

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

Greatest Common Factor

We found the factors and prime factorization of 657 and 660. The biggest common factor number is the GCF number.
So the greatest common factor 657 and 660 is 3.

Also check out the Least Common Multiple of 657 and 660

Properties of GCF 657 and 660

(i) The GCF of 657 and 660 is associative

GCF of 657 and 660 = GCF of 660 and 657

Related Greatest Common Factor of 657

Related Greatest Common Factor of 660

Frequently Asked Questions on GCF of 657 and 660

1. What is the GCF of 657 and 660?

Answer: GCF of 657 and 660 is 3.

2. What are the Factors of 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

3. 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.

4. How to Find the GCF of 657 and 660?

Answer:

Greatest Common Factor of 657 and 660 = 3

Step 1: Find the prime factorization of 657

657 = 3 x 3 x 73

Step 2: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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 657 and 660 is 3