Greatest Common Factor of 6669 and 6675

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 6669, 6675 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6669 and 6675 is 3.

GCF(6669,6675) = 3

GCF of 6669 and 6675

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

GCF of:
and

Greatest Common Factor of 6669 and 6675

GCF of 6669 and 6675 is 3

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

Prime Factorization of 6675


3 6675
5 2225
5 445
89 89
1

Prime factors of 6675 are 3,5,89. Prime factorization of 6675 in exponential form is:

6675 = 31×52×891

∴ So by taking common prime factors GCF of 6669 and 6675 is 3

Greatest Common Factor of 6669 and 6675 by matching factors method

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

Factors of 6675

List of positive integer factors of 6675 that divides 6675 without a remainder.

1,3,5,15,25,75,89,267,445,1335,2225,6675

Greatest Common Factor

We found the factors and prime factorization of 6669 and 6675. The biggest common factor number is the GCF number.
So the greatest common factor 6669 and 6675 is 3.

Also check out the Least Common Multiple of 6669 and 6675

Properties of GCF 6669 and 6675

(i) The GCF of 6669 and 6675 is associative

GCF of 6669 and 6675 = GCF of 6675 and 6669

Related Greatest Common Factor of 6669

Related Greatest Common Factor of 6675

Frequently Asked Questions on GCF of 6669 and 6675

1. What is the GCF of 6669 and 6675?

Answer: GCF of 6669 and 6675 is 3.

2. 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.

3. What are the Factors of 6675?

Answer: Factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675. There are 12 integers that are factors of 6675. The greatest factor of 6675 is 6675.

4. How to Find the GCF of 6669 and 6675?

Answer:

Greatest Common Factor of 6669 and 6675 = 3

Step 1: Find the prime factorization of 6669

6669 = 3 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 6675

6675 = 3 x 5 x 5 x 89

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 6669 and 6675 is 3