Greatest Common Factor of 663 and 666

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 663, 666 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 663 and 666 is 3.

GCF(663,666) = 3

GCF of 663 and 666

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

GCF of:
and

Greatest Common Factor of 663 and 666

GCF of 663 and 666 is 3

Prime Factorization of 663


3 663
13 221
17 17
1

Prime factors of 663 are 3,13,17. Prime factorization of 663 in exponential form is:

663 = 31×131×171

Prime Factorization of 666


2 666
3 333
3 111
37 37
1

Prime factors of 666 are 2,3,37. Prime factorization of 666 in exponential form is:

666 = 21×32×371

∴ So by taking common prime factors GCF of 663 and 666 is 3

Greatest Common Factor of 663 and 666 by matching factors method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors and prime factorization of 663 and 666. The biggest common factor number is the GCF number.
So the greatest common factor 663 and 666 is 3.

Also check out the Least Common Multiple of 663 and 666

Properties of GCF 663 and 666

(i) The GCF of 663 and 666 is associative

GCF of 663 and 666 = GCF of 666 and 663

Related Greatest Common Factor of 663

Related Greatest Common Factor of 666

Frequently Asked Questions on GCF of 663 and 666

1. What is the GCF of 663 and 666?

Answer: GCF of 663 and 666 is 3.

2. What are the Factors of 663?

Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.

3. What are the Factors of 666?

Answer: Factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666. There are 12 integers that are factors of 666. The greatest factor of 666 is 666.

4. How to Find the GCF of 663 and 666?

Answer:

Greatest Common Factor of 663 and 666 = 3

Step 1: Find the prime factorization of 663

663 = 3 x 13 x 17

Step 2: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

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 663 and 666 is 3