Greatest Common Factor of 6723 and 6729

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 6723, 6729 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6723 and 6729 is 3.

GCF(6723,6729) = 3

GCF of 6723 and 6729

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

GCF of:
and

Greatest Common Factor of 6723 and 6729

GCF of 6723 and 6729 is 3

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

Prime Factorization of 6729


3 6729
2243 2243
1

Prime factors of 6729 are 3,2243. Prime factorization of 6729 in exponential form is:

6729 = 31×22431

∴ So by taking common prime factors GCF of 6723 and 6729 is 3

Greatest Common Factor of 6723 and 6729 by matching factors method

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

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1,3,2243,6729

Greatest Common Factor

We found the factors and prime factorization of 6723 and 6729. The biggest common factor number is the GCF number.
So the greatest common factor 6723 and 6729 is 3.

Also check out the Least Common Multiple of 6723 and 6729

Properties of GCF 6723 and 6729

(i) The GCF of 6723 and 6729 is associative

GCF of 6723 and 6729 = GCF of 6729 and 6723

Related Greatest Common Factor of 6723

Related Greatest Common Factor of 6729

Frequently Asked Questions on GCF of 6723 and 6729

1. What is the GCF of 6723 and 6729?

Answer: GCF of 6723 and 6729 is 3.

2. 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.

3. What are the Factors of 6729?

Answer: Factors of 6729 are 1, 3, 2243, 6729. There are 4 integers that are factors of 6729. The greatest factor of 6729 is 6729.

4. How to Find the GCF of 6723 and 6729?

Answer:

Greatest Common Factor of 6723 and 6729 = 3

Step 1: Find the prime factorization of 6723

6723 = 3 x 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 6729

6729 = 3 x 2243

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 6723 and 6729 is 3