Greatest Common Factor of 27009 and 27012

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 27009, 27012 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27009 and 27012 is 3.

GCF(27009,27012) = 3

GCF of 27009 and 27012

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

GCF of:
and

Greatest Common Factor of 27009 and 27012

GCF of 27009 and 27012 is 3

Prime Factorization of 27009


3 27009
3 9003
3001 3001
1

Prime factors of 27009 are 3,3001. Prime factorization of 27009 in exponential form is:

27009 = 32×30011

Prime Factorization of 27012


2 27012
2 13506
3 6753
2251 2251
1

Prime factors of 27012 are 2,3,2251. Prime factorization of 27012 in exponential form is:

27012 = 22×31×22511

∴ So by taking common prime factors GCF of 27009 and 27012 is 3

Greatest Common Factor of 27009 and 27012 by matching factors method

Factors of 27009

List of positive integer factors of 27009 that divides 27009 without a remainder.

1,3,9,3001,9003,27009

Factors of 27012

List of positive integer factors of 27012 that divides 27012 without a remainder.

1,2,3,4,6,12,2251,4502,6753,9004,13506,27012

Greatest Common Factor

We found the factors and prime factorization of 27009 and 27012. The biggest common factor number is the GCF number.
So the greatest common factor 27009 and 27012 is 3.

Also check out the Least Common Multiple of 27009 and 27012

Properties of GCF 27009 and 27012

(i) The GCF of 27009 and 27012 is associative

GCF of 27009 and 27012 = GCF of 27012 and 27009

Related Greatest Common Factor of 27009

Related Greatest Common Factor of 27012

Frequently Asked Questions on GCF of 27009 and 27012

1. What is the GCF of 27009 and 27012?

Answer: GCF of 27009 and 27012 is 3.

2. What are the Factors of 27009?

Answer: Factors of 27009 are 1, 3, 9, 3001, 9003, 27009. There are 6 integers that are factors of 27009. The greatest factor of 27009 is 27009.

3. What are the Factors of 27012?

Answer: Factors of 27012 are 1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506, 27012. There are 12 integers that are factors of 27012. The greatest factor of 27012 is 27012.

4. How to Find the GCF of 27009 and 27012?

Answer:

Greatest Common Factor of 27009 and 27012 = 3

Step 1: Find the prime factorization of 27009

27009 = 3 x 3 x 3001

Step 2: Find the prime factorization of 27012

27012 = 2 x 2 x 3 x 2251

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 27009 and 27012 is 3