Greatest Common Factor of 36009 and 36015

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, 36015 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36009 and 36015 is 3.

GCF(36009,36015) = 3

GCF of 36009 and 36015

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

GCF of:
and

Greatest Common Factor of 36009 and 36015

GCF of 36009 and 36015 is 3

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 36015


3 36015
5 12005
7 2401
7 343
7 49
7 7
1

Prime factors of 36015 are 3,5,7. Prime factorization of 36015 in exponential form is:

36015 = 31×51×74

∴ So by taking common prime factors GCF of 36009 and 36015 is 3

Greatest Common Factor of 36009 and 36015 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 36015

List of positive integer factors of 36015 that divides 36015 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,2401,5145,7203,12005,36015

Greatest Common Factor

We found the factors and prime factorization of 36009 and 36015. The biggest common factor number is the GCF number.
So the greatest common factor 36009 and 36015 is 3.

Also check out the Least Common Multiple of 36009 and 36015

Properties of GCF 36009 and 36015

(i) The GCF of 36009 and 36015 is associative

GCF of 36009 and 36015 = GCF of 36015 and 36009

Related Greatest Common Factor of 36009

Related Greatest Common Factor of 36015

Frequently Asked Questions on GCF of 36009 and 36015

1. What is the GCF of 36009 and 36015?

Answer: GCF of 36009 and 36015 is 3.

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 36015?

Answer: Factors of 36015 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 2401, 5145, 7203, 12005, 36015. There are 20 integers that are factors of 36015. The greatest factor of 36015 is 36015.

4. How to Find the GCF of 36009 and 36015?

Answer:

Greatest Common Factor of 36009 and 36015 = 3

Step 1: Find the prime factorization of 36009

36009 = 3 x 3 x 4001

Step 2: Find the prime factorization of 36015

36015 = 3 x 5 x 7 x 7 x 7 x 7

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 36009 and 36015 is 3