Greatest Common Factor of 660 and 668

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, 668 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 660 and 668 is 4.

GCF(660,668) = 4

GCF of 660 and 668

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

GCF of:
and

Greatest Common Factor of 660 and 668

GCF of 660 and 668 is 4

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 668


2 668
2 334
167 167
1

Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:

668 = 22×1671

∴ So by taking common prime factors GCF of 660 and 668 is 4

Greatest Common Factor of 660 and 668 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 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors and prime factorization of 660 and 668. The biggest common factor number is the GCF number.
So the greatest common factor 660 and 668 is 4.

Also check out the Least Common Multiple of 660 and 668

Properties of GCF 660 and 668

(i) The GCF of 660 and 668 is associative

GCF of 660 and 668 = GCF of 668 and 660

Related Greatest Common Factor of 660

Related Greatest Common Factor of 668

Frequently Asked Questions on GCF of 660 and 668

1. What is the GCF of 660 and 668?

Answer: GCF of 660 and 668 is 4.

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 668?

Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.

4. How to Find the GCF of 660 and 668?

Answer:

Greatest Common Factor of 660 and 668 = 4

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 668

668 = 2 x 2 x 167

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 660 and 668 is 4