Greatest Common Factor of 6609 and 6615

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 6609, 6615 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6609 and 6615 is 3.

GCF(6609,6615) = 3

GCF of 6609 and 6615

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

GCF of:
and

Greatest Common Factor of 6609 and 6615

GCF of 6609 and 6615 is 3

Prime Factorization of 6609


3 6609
2203 2203
1

Prime factors of 6609 are 3,2203. Prime factorization of 6609 in exponential form is:

6609 = 31×22031

Prime Factorization of 6615


3 6615
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 6615 are 3,5,7. Prime factorization of 6615 in exponential form is:

6615 = 33×51×72

∴ So by taking common prime factors GCF of 6609 and 6615 is 3

Greatest Common Factor of 6609 and 6615 by matching factors method

Factors of 6609

List of positive integer factors of 6609 that divides 6609 without a remainder.

1,3,2203,6609

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615

Greatest Common Factor

We found the factors and prime factorization of 6609 and 6615. The biggest common factor number is the GCF number.
So the greatest common factor 6609 and 6615 is 3.

Also check out the Least Common Multiple of 6609 and 6615

Properties of GCF 6609 and 6615

(i) The GCF of 6609 and 6615 is associative

GCF of 6609 and 6615 = GCF of 6615 and 6609

Related Greatest Common Factor of 6609

Related Greatest Common Factor of 6615

Frequently Asked Questions on GCF of 6609 and 6615

1. What is the GCF of 6609 and 6615?

Answer: GCF of 6609 and 6615 is 3.

2. What are the Factors of 6609?

Answer: Factors of 6609 are 1, 3, 2203, 6609. There are 4 integers that are factors of 6609. The greatest factor of 6609 is 6609.

3. What are the Factors of 6615?

Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.

4. How to Find the GCF of 6609 and 6615?

Answer:

Greatest Common Factor of 6609 and 6615 = 3

Step 1: Find the prime factorization of 6609

6609 = 3 x 2203

Step 2: Find the prime factorization of 6615

6615 = 3 x 3 x 3 x 5 x 7 x 7

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 6609 and 6615 is 3