Greatest Common Factor of 36009 and 36017

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 36009, 36017 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36009 and 36017 is 1.

GCF(36009,36017) = 1

GCF of 36009 and 36017

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

GCF of:
and

Greatest Common Factor of 36009 and 36017

GCF of 36009 and 36017 is 1

Prime Factorization of 36009


3 36009
3 12003
4001 4001
1

Prime factors of 36009 are 3,4001. Prime factorization of 36009 in exponential form is:

36009 = 32×40011

Prime Factorization of 36017


36017 36017
1

Prime factors of 36017 are 36017. Prime factorization of 36017 in exponential form is:

36017 = 360171

∴ So by taking common prime factors GCF of 36009 and 36017 is 1

Greatest Common Factor of 36009 and 36017 by matching factors method

Factors of 36009

List of positive integer factors of 36009 that divides 36009 without a remainder.

1,3,9,4001,12003,36009

Factors of 36017

List of positive integer factors of 36017 that divides 36017 without a remainder.

1,36017

Greatest Common Factor

We found the factors and prime factorization of 36009 and 36017. The biggest common factor number is the GCF number.
So the greatest common factor 36009 and 36017 is 1.

Also check out the Least Common Multiple of 36009 and 36017

Properties of GCF 36009 and 36017

(i) The GCF of 36009 and 36017 is associative

GCF of 36009 and 36017 = GCF of 36017 and 36009

Related Greatest Common Factor of 36009

Related Greatest Common Factor of 36017

Frequently Asked Questions on GCF of 36009 and 36017

1. What is the GCF of 36009 and 36017?

Answer: GCF of 36009 and 36017 is 1.

2. What are the Factors of 36009?

Answer: Factors of 36009 are 1, 3, 9, 4001, 12003, 36009. There are 6 integers that are factors of 36009. The greatest factor of 36009 is 36009.

3. What are the Factors of 36017?

Answer: Factors of 36017 are 1, 36017. There are 2 integers that are factors of 36017. The greatest factor of 36017 is 36017.

4. How to Find the GCF of 36009 and 36017?

Answer:

Greatest Common Factor of 36009 and 36017 = 1

Step 1: Find the prime factorization of 36009

36009 = 3 x 3 x 4001

Step 2: Find the prime factorization of 36017

36017 = 36017

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 36009 and 36017 is 1