Greatest Common Factor of 6606 and 6609

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 6606, 6609 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6606 and 6609 is 3.

GCF(6606,6609) = 3

GCF of 6606 and 6609

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

GCF of:
and

Greatest Common Factor of 6606 and 6609

GCF of 6606 and 6609 is 3

Prime Factorization of 6606


2 6606
3 3303
3 1101
367 367
1

Prime factors of 6606 are 2,3,367. Prime factorization of 6606 in exponential form is:

6606 = 21×32×3671

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

∴ So by taking common prime factors GCF of 6606 and 6609 is 3

Greatest Common Factor of 6606 and 6609 by matching factors method

Factors of 6606

List of positive integer factors of 6606 that divides 6606 without a remainder.

1,2,3,6,9,18,367,734,1101,2202,3303,6606

Factors of 6609

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

1,3,2203,6609

Greatest Common Factor

We found the factors and prime factorization of 6606 and 6609. The biggest common factor number is the GCF number.
So the greatest common factor 6606 and 6609 is 3.

Also check out the Least Common Multiple of 6606 and 6609

Properties of GCF 6606 and 6609

(i) The GCF of 6606 and 6609 is associative

GCF of 6606 and 6609 = GCF of 6609 and 6606

Related Greatest Common Factor of 6606

Related Greatest Common Factor of 6609

Frequently Asked Questions on GCF of 6606 and 6609

1. What is the GCF of 6606 and 6609?

Answer: GCF of 6606 and 6609 is 3.

2. What are the Factors of 6606?

Answer: Factors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606. There are 12 integers that are factors of 6606. The greatest factor of 6606 is 6606.

3. 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.

4. How to Find the GCF of 6606 and 6609?

Answer:

Greatest Common Factor of 6606 and 6609 = 3

Step 1: Find the prime factorization of 6606

6606 = 2 x 3 x 3 x 367

Step 2: Find the prime factorization of 6609

6609 = 3 x 2203

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 6606 and 6609 is 3