Greatest Common Factor of 27003 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 27003, 27009 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27003 and 27009 is 3.

GCF(27003,27009) = 3

GCF of 27003 and 27009

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

GCF of:
and

Greatest Common Factor of 27003 and 27009

GCF of 27003 and 27009 is 3

Prime Factorization of 27003


3 27003
9001 9001
1

Prime factors of 27003 are 3,9001. Prime factorization of 27003 in exponential form is:

27003 = 31×90011

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 27003 and 27009 is 3

Greatest Common Factor of 27003 and 27009 by matching factors method

Factors of 27003

List of positive integer factors of 27003 that divides 27003 without a remainder.

1,3,9001,27003

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 27003 and 27009. The biggest common factor number is the GCF number.
So the greatest common factor 27003 and 27009 is 3.

Also check out the Least Common Multiple of 27003 and 27009

Properties of GCF 27003 and 27009

(i) The GCF of 27003 and 27009 is associative

GCF of 27003 and 27009 = GCF of 27009 and 27003

Related Greatest Common Factor of 27003

Related Greatest Common Factor of 27009

Frequently Asked Questions on GCF of 27003 and 27009

1. What is the GCF of 27003 and 27009?

Answer: GCF of 27003 and 27009 is 3.

2. What are the Factors of 27003?

Answer: Factors of 27003 are 1, 3, 9001, 27003. There are 4 integers that are factors of 27003. The greatest factor of 27003 is 27003.

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 27003 and 27009?

Answer:

Greatest Common Factor of 27003 and 27009 = 3

Step 1: Find the prime factorization of 27003

27003 = 3 x 9001

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 27003 and 27009 is 3