Greatest Common Factor of 2009 and 2017

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 2009, 2017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2009 and 2017 is 1.

GCF(2009,2017) = 1

GCF of 2009 and 2017

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

GCF of:
and

Greatest Common Factor of 2009 and 2017

GCF of 2009 and 2017 is 1

Prime Factorization of 2009


7 2009
7 287
41 41
1

Prime factors of 2009 are 7,41. Prime factorization of 2009 in exponential form is:

2009 = 72×411

Prime Factorization of 2017


2017 2017
1

Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:

2017 = 20171

∴ So by taking common prime factors GCF of 2009 and 2017 is 1

Greatest Common Factor of 2009 and 2017 by matching factors method

Factors of 2009

List of positive integer factors of 2009 that divides 2009 without a remainder.

1,7,41,49,287,2009

Factors of 2017

List of positive integer factors of 2017 that divides 2017 without a remainder.

1,2017

Greatest Common Factor

We found the factors and prime factorization of 2009 and 2017. The biggest common factor number is the GCF number.
So the greatest common factor 2009 and 2017 is 1.

Also check out the Least Common Multiple of 2009 and 2017

Properties of GCF 2009 and 2017

(i) The GCF of 2009 and 2017 is associative

GCF of 2009 and 2017 = GCF of 2017 and 2009

Related Greatest Common Factor of 2009

Related Greatest Common Factor of 2017

Frequently Asked Questions on GCF of 2009 and 2017

1. What is the GCF of 2009 and 2017?

Answer: GCF of 2009 and 2017 is 1.

2. What are the Factors of 2009?

Answer: Factors of 2009 are 1, 7, 41, 49, 287, 2009. There are 6 integers that are factors of 2009. The greatest factor of 2009 is 2009.

3. What are the Factors of 2017?

Answer: Factors of 2017 are 1, 2017. There are 2 integers that are factors of 2017. The greatest factor of 2017 is 2017.

4. How to Find the GCF of 2009 and 2017?

Answer:

Greatest Common Factor of 2009 and 2017 = 1

Step 1: Find the prime factorization of 2009

2009 = 7 x 7 x 41

Step 2: Find the prime factorization of 2017

2017 = 2017

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 2009 and 2017 is 1