Greatest Common Factor of 666 and 667

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 666, 667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 666 and 667 is 1.

GCF(666,667) = 1

GCF of 666 and 667

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

GCF of:
and

Greatest Common Factor of 666 and 667

GCF of 666 and 667 is 1

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

Prime Factorization of 667


23 667
29 29
1

Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:

667 = 231×291

∴ So by taking common prime factors GCF of 666 and 667 is 1

Greatest Common Factor of 666 and 667 by matching factors method

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

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors and prime factorization of 666 and 667. The biggest common factor number is the GCF number.
So the greatest common factor 666 and 667 is 1.

Also check out the Least Common Multiple of 666 and 667

Properties of GCF 666 and 667

(i) The GCF of 666 and 667 is associative

GCF of 666 and 667 = GCF of 667 and 666

Related Greatest Common Factor of 666

Related Greatest Common Factor of 667

Frequently Asked Questions on GCF of 666 and 667

1. What is the GCF of 666 and 667?

Answer: GCF of 666 and 667 is 1.

2. 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.

3. What are the Factors of 667?

Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.

4. How to Find the GCF of 666 and 667?

Answer:

Greatest Common Factor of 666 and 667 = 1

Step 1: Find the prime factorization of 666

666 = 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 667

667 = 23 x 29

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 666 and 667 is 1