Greatest Common Factor of 6609 and 6613

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, 6613 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6609 and 6613 is 1.

GCF(6609,6613) = 1

GCF of 6609 and 6613

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

GCF of:
and

Greatest Common Factor of 6609 and 6613

GCF of 6609 and 6613 is 1

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 6613


17 6613
389 389
1

Prime factors of 6613 are 17,389. Prime factorization of 6613 in exponential form is:

6613 = 171×3891

∴ So by taking common prime factors GCF of 6609 and 6613 is 1

Greatest Common Factor of 6609 and 6613 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 6613

List of positive integer factors of 6613 that divides 6613 without a remainder.

1,17,389,6613

Greatest Common Factor

We found the factors and prime factorization of 6609 and 6613. The biggest common factor number is the GCF number.
So the greatest common factor 6609 and 6613 is 1.

Also check out the Least Common Multiple of 6609 and 6613

Properties of GCF 6609 and 6613

(i) The GCF of 6609 and 6613 is associative

GCF of 6609 and 6613 = GCF of 6613 and 6609

Related Greatest Common Factor of 6609

Related Greatest Common Factor of 6613

Frequently Asked Questions on GCF of 6609 and 6613

1. What is the GCF of 6609 and 6613?

Answer: GCF of 6609 and 6613 is 1.

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 6613?

Answer: Factors of 6613 are 1, 17, 389, 6613. There are 4 integers that are factors of 6613. The greatest factor of 6613 is 6613.

4. How to Find the GCF of 6609 and 6613?

Answer:

Greatest Common Factor of 6609 and 6613 = 1

Step 1: Find the prime factorization of 6609

6609 = 3 x 2203

Step 2: Find the prime factorization of 6613

6613 = 17 x 389

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6609 and 6613 is 1