Greatest Common Factor of 6663 and 6669

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 6663, 6669 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6663 and 6669 is 3.

GCF(6663,6669) = 3

GCF of 6663 and 6669

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

GCF of:
and

Greatest Common Factor of 6663 and 6669

GCF of 6663 and 6669 is 3

Prime Factorization of 6663


3 6663
2221 2221
1

Prime factors of 6663 are 3,2221. Prime factorization of 6663 in exponential form is:

6663 = 31×22211

Prime Factorization of 6669


3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 6669 are 3,13,19. Prime factorization of 6669 in exponential form is:

6669 = 33×131×191

∴ So by taking common prime factors GCF of 6663 and 6669 is 3

Greatest Common Factor of 6663 and 6669 by matching factors method

Factors of 6663

List of positive integer factors of 6663 that divides 6663 without a remainder.

1,3,2221,6663

Factors of 6669

List of positive integer factors of 6669 that divides 6669 without a remainder.

1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669

Greatest Common Factor

We found the factors and prime factorization of 6663 and 6669. The biggest common factor number is the GCF number.
So the greatest common factor 6663 and 6669 is 3.

Also check out the Least Common Multiple of 6663 and 6669

Properties of GCF 6663 and 6669

(i) The GCF of 6663 and 6669 is associative

GCF of 6663 and 6669 = GCF of 6669 and 6663

Related Greatest Common Factor of 6663

Related Greatest Common Factor of 6669

Frequently Asked Questions on GCF of 6663 and 6669

1. What is the GCF of 6663 and 6669?

Answer: GCF of 6663 and 6669 is 3.

2. What are the Factors of 6663?

Answer: Factors of 6663 are 1, 3, 2221, 6663. There are 4 integers that are factors of 6663. The greatest factor of 6663 is 6663.

3. What are the Factors of 6669?

Answer: Factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669. There are 16 integers that are factors of 6669. The greatest factor of 6669 is 6669.

4. How to Find the GCF of 6663 and 6669?

Answer:

Greatest Common Factor of 6663 and 6669 = 3

Step 1: Find the prime factorization of 6663

6663 = 3 x 2221

Step 2: Find the prime factorization of 6669

6669 = 3 x 3 x 3 x 13 x 19

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 6663 and 6669 is 3