Greatest Common Factor of 3009 and 3017

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 3009, 3017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3009 and 3017 is 1.

GCF(3009,3017) = 1

GCF of 3009 and 3017

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

GCF of:
and

Greatest Common Factor of 3009 and 3017

GCF of 3009 and 3017 is 1

Prime Factorization of 3009


3 3009
17 1003
59 59
1

Prime factors of 3009 are 3,17,59. Prime factorization of 3009 in exponential form is:

3009 = 31×171×591

Prime Factorization of 3017


7 3017
431 431
1

Prime factors of 3017 are 7,431. Prime factorization of 3017 in exponential form is:

3017 = 71×4311

∴ So by taking common prime factors GCF of 3009 and 3017 is 1

Greatest Common Factor of 3009 and 3017 by matching factors method

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Factors of 3017

List of positive integer factors of 3017 that divides 3017 without a remainder.

1,7,431,3017

Greatest Common Factor

We found the factors and prime factorization of 3009 and 3017. The biggest common factor number is the GCF number.
So the greatest common factor 3009 and 3017 is 1.

Also check out the Least Common Multiple of 3009 and 3017

Properties of GCF 3009 and 3017

(i) The GCF of 3009 and 3017 is associative

GCF of 3009 and 3017 = GCF of 3017 and 3009

Related Greatest Common Factor of 3009

Related Greatest Common Factor of 3017

Frequently Asked Questions on GCF of 3009 and 3017

1. What is the GCF of 3009 and 3017?

Answer: GCF of 3009 and 3017 is 1.

2. What are the Factors of 3009?

Answer: Factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009. There are 8 integers that are factors of 3009. The greatest factor of 3009 is 3009.

3. What are the Factors of 3017?

Answer: Factors of 3017 are 1, 7, 431, 3017. There are 4 integers that are factors of 3017. The greatest factor of 3017 is 3017.

4. How to Find the GCF of 3009 and 3017?

Answer:

Greatest Common Factor of 3009 and 3017 = 1

Step 1: Find the prime factorization of 3009

3009 = 3 x 17 x 59

Step 2: Find the prime factorization of 3017

3017 = 7 x 431

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 3009 and 3017 is 1