Greatest Common Factor of 6639 and 6645

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 6639, 6645 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6639 and 6645 is 3.

GCF(6639,6645) = 3

GCF of 6639 and 6645

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

GCF of:
and

Greatest Common Factor of 6639 and 6645

GCF of 6639 and 6645 is 3

Prime Factorization of 6639


3 6639
2213 2213
1

Prime factors of 6639 are 3,2213. Prime factorization of 6639 in exponential form is:

6639 = 31×22131

Prime Factorization of 6645


3 6645
5 2215
443 443
1

Prime factors of 6645 are 3,5,443. Prime factorization of 6645 in exponential form is:

6645 = 31×51×4431

∴ So by taking common prime factors GCF of 6639 and 6645 is 3

Greatest Common Factor of 6639 and 6645 by matching factors method

Factors of 6639

List of positive integer factors of 6639 that divides 6639 without a remainder.

1,3,2213,6639

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1,3,5,15,443,1329,2215,6645

Greatest Common Factor

We found the factors and prime factorization of 6639 and 6645. The biggest common factor number is the GCF number.
So the greatest common factor 6639 and 6645 is 3.

Also check out the Least Common Multiple of 6639 and 6645

Properties of GCF 6639 and 6645

(i) The GCF of 6639 and 6645 is associative

GCF of 6639 and 6645 = GCF of 6645 and 6639

Related Greatest Common Factor of 6639

Related Greatest Common Factor of 6645

Frequently Asked Questions on GCF of 6639 and 6645

1. What is the GCF of 6639 and 6645?

Answer: GCF of 6639 and 6645 is 3.

2. What are the Factors of 6639?

Answer: Factors of 6639 are 1, 3, 2213, 6639. There are 4 integers that are factors of 6639. The greatest factor of 6639 is 6639.

3. What are the Factors of 6645?

Answer: Factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645. There are 8 integers that are factors of 6645. The greatest factor of 6645 is 6645.

4. How to Find the GCF of 6639 and 6645?

Answer:

Greatest Common Factor of 6639 and 6645 = 3

Step 1: Find the prime factorization of 6639

6639 = 3 x 2213

Step 2: Find the prime factorization of 6645

6645 = 3 x 5 x 443

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 6639 and 6645 is 3