Greatest Common Factor of 6717 and 6723

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 6717, 6723 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6717 and 6723 is 3.

GCF(6717,6723) = 3

GCF of 6717 and 6723

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

GCF of:
and

Greatest Common Factor of 6717 and 6723

GCF of 6717 and 6723 is 3

Prime Factorization of 6717


3 6717
2239 2239
1

Prime factors of 6717 are 3,2239. Prime factorization of 6717 in exponential form is:

6717 = 31×22391

Prime Factorization of 6723


3 6723
3 2241
3 747
3 249
83 83
1

Prime factors of 6723 are 3,83. Prime factorization of 6723 in exponential form is:

6723 = 34×831

∴ So by taking common prime factors GCF of 6717 and 6723 is 3

Greatest Common Factor of 6717 and 6723 by matching factors method

Factors of 6717

List of positive integer factors of 6717 that divides 6717 without a remainder.

1,3,2239,6717

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1,3,9,27,81,83,249,747,2241,6723

Greatest Common Factor

We found the factors and prime factorization of 6717 and 6723. The biggest common factor number is the GCF number.
So the greatest common factor 6717 and 6723 is 3.

Also check out the Least Common Multiple of 6717 and 6723

Properties of GCF 6717 and 6723

(i) The GCF of 6717 and 6723 is associative

GCF of 6717 and 6723 = GCF of 6723 and 6717

Related Greatest Common Factor of 6717

Related Greatest Common Factor of 6723

Frequently Asked Questions on GCF of 6717 and 6723

1. What is the GCF of 6717 and 6723?

Answer: GCF of 6717 and 6723 is 3.

2. What are the Factors of 6717?

Answer: Factors of 6717 are 1, 3, 2239, 6717. There are 4 integers that are factors of 6717. The greatest factor of 6717 is 6717.

3. What are the Factors of 6723?

Answer: Factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723. There are 10 integers that are factors of 6723. The greatest factor of 6723 is 6723.

4. How to Find the GCF of 6717 and 6723?

Answer:

Greatest Common Factor of 6717 and 6723 = 3

Step 1: Find the prime factorization of 6717

6717 = 3 x 2239

Step 2: Find the prime factorization of 6723

6723 = 3 x 3 x 3 x 3 x 83

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 6717 and 6723 is 3