Greatest Common Factor of 27015 and 27021

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 27015, 27021 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27015 and 27021 is 3.

GCF(27015,27021) = 3

GCF of 27015 and 27021

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

GCF of:
and

Greatest Common Factor of 27015 and 27021

GCF of 27015 and 27021 is 3

Prime Factorization of 27015


3 27015
5 9005
1801 1801
1

Prime factors of 27015 are 3,5,1801. Prime factorization of 27015 in exponential form is:

27015 = 31×51×18011

Prime Factorization of 27021


3 27021
9007 9007
1

Prime factors of 27021 are 3,9007. Prime factorization of 27021 in exponential form is:

27021 = 31×90071

∴ So by taking common prime factors GCF of 27015 and 27021 is 3

Greatest Common Factor of 27015 and 27021 by matching factors method

Factors of 27015

List of positive integer factors of 27015 that divides 27015 without a remainder.

1,3,5,15,1801,5403,9005,27015

Factors of 27021

List of positive integer factors of 27021 that divides 27021 without a remainder.

1,3,9007,27021

Greatest Common Factor

We found the factors and prime factorization of 27015 and 27021. The biggest common factor number is the GCF number.
So the greatest common factor 27015 and 27021 is 3.

Also check out the Least Common Multiple of 27015 and 27021

Properties of GCF 27015 and 27021

(i) The GCF of 27015 and 27021 is associative

GCF of 27015 and 27021 = GCF of 27021 and 27015

Related Greatest Common Factor of 27015

Related Greatest Common Factor of 27021

Frequently Asked Questions on GCF of 27015 and 27021

1. What is the GCF of 27015 and 27021?

Answer: GCF of 27015 and 27021 is 3.

2. What are the Factors of 27015?

Answer: Factors of 27015 are 1, 3, 5, 15, 1801, 5403, 9005, 27015. There are 8 integers that are factors of 27015. The greatest factor of 27015 is 27015.

3. What are the Factors of 27021?

Answer: Factors of 27021 are 1, 3, 9007, 27021. There are 4 integers that are factors of 27021. The greatest factor of 27021 is 27021.

4. How to Find the GCF of 27015 and 27021?

Answer:

Greatest Common Factor of 27015 and 27021 = 3

Step 1: Find the prime factorization of 27015

27015 = 3 x 5 x 1801

Step 2: Find the prime factorization of 27021

27021 = 3 x 9007

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 27015 and 27021 is 3