Greatest Common Factor of 27013 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 27013, 27021 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27013 and 27021 is 1.

GCF(27013,27021) = 1

GCF of 27013 and 27021

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

GCF of:
and

Greatest Common Factor of 27013 and 27021

GCF of 27013 and 27021 is 1

Prime Factorization of 27013


7 27013
17 3859
227 227
1

Prime factors of 27013 are 7,17,227. Prime factorization of 27013 in exponential form is:

27013 = 71×171×2271

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 27013 and 27021 is 1

Greatest Common Factor of 27013 and 27021 by matching factors method

Factors of 27013

List of positive integer factors of 27013 that divides 27013 without a remainder.

1,7,17,119,227,1589,3859,27013

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 27013 and 27021. The biggest common factor number is the GCF number.
So the greatest common factor 27013 and 27021 is 1.

Also check out the Least Common Multiple of 27013 and 27021

Properties of GCF 27013 and 27021

(i) The GCF of 27013 and 27021 is associative

GCF of 27013 and 27021 = GCF of 27021 and 27013

Frequently Asked Questions on GCF of 27013 and 27021

1. What is the GCF of 27013 and 27021?

Answer: GCF of 27013 and 27021 is 1.

2. What are the Factors of 27013?

Answer: Factors of 27013 are 1, 7, 17, 119, 227, 1589, 3859, 27013. There are 8 integers that are factors of 27013. The greatest factor of 27013 is 27013.

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 27013 and 27021?

Answer:

Greatest Common Factor of 27013 and 27021 = 1

Step 1: Find the prime factorization of 27013

27013 = 7 x 17 x 227

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 = = 1

Step 4: Therefore, the greatest common factor of 27013 and 27021 is 1