Greatest Common Factor of 27006 and 27009

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 27006, 27009 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27006 and 27009 is 3.

GCF(27006,27009) = 3

GCF of 27006 and 27009

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

GCF of:
and

Greatest Common Factor of 27006 and 27009

GCF of 27006 and 27009 is 3

Prime Factorization of 27006


2 27006
3 13503
7 4501
643 643
1

Prime factors of 27006 are 2,3,7,643. Prime factorization of 27006 in exponential form is:

27006 = 21×31×71×6431

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

∴ So by taking common prime factors GCF of 27006 and 27009 is 3

Greatest Common Factor of 27006 and 27009 by matching factors method

Factors of 27006

List of positive integer factors of 27006 that divides 27006 without a remainder.

1,2,3,6,7,14,21,42,643,1286,1929,3858,4501,9002,13503,27006

Factors of 27009

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

1,3,9,3001,9003,27009

Greatest Common Factor

We found the factors and prime factorization of 27006 and 27009. The biggest common factor number is the GCF number.
So the greatest common factor 27006 and 27009 is 3.

Also check out the Least Common Multiple of 27006 and 27009

Properties of GCF 27006 and 27009

(i) The GCF of 27006 and 27009 is associative

GCF of 27006 and 27009 = GCF of 27009 and 27006

Related Greatest Common Factor of 27006

Related Greatest Common Factor of 27009

Frequently Asked Questions on GCF of 27006 and 27009

1. What is the GCF of 27006 and 27009?

Answer: GCF of 27006 and 27009 is 3.

2. What are the Factors of 27006?

Answer: Factors of 27006 are 1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503, 27006. There are 16 integers that are factors of 27006. The greatest factor of 27006 is 27006.

3. 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.

4. How to Find the GCF of 27006 and 27009?

Answer:

Greatest Common Factor of 27006 and 27009 = 3

Step 1: Find the prime factorization of 27006

27006 = 2 x 3 x 7 x 643

Step 2: Find the prime factorization of 27009

27009 = 3 x 3 x 3001

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 27006 and 27009 is 3