Greatest Common Factor of 6015 and 6021

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 6015, 6021 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6015 and 6021 is 3.

GCF(6015,6021) = 3

GCF of 6015 and 6021

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

GCF of:
and

Greatest Common Factor of 6015 and 6021

GCF of 6015 and 6021 is 3

Prime Factorization of 6015


3 6015
5 2005
401 401
1

Prime factors of 6015 are 3,5,401. Prime factorization of 6015 in exponential form is:

6015 = 31×51×4011

Prime Factorization of 6021


3 6021
3 2007
3 669
223 223
1

Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:

6021 = 33×2231

∴ So by taking common prime factors GCF of 6015 and 6021 is 3

Greatest Common Factor of 6015 and 6021 by matching factors method

Factors of 6015

List of positive integer factors of 6015 that divides 6015 without a remainder.

1,3,5,15,401,1203,2005,6015

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1,3,9,27,223,669,2007,6021

Greatest Common Factor

We found the factors and prime factorization of 6015 and 6021. The biggest common factor number is the GCF number.
So the greatest common factor 6015 and 6021 is 3.

Also check out the Least Common Multiple of 6015 and 6021

Properties of GCF 6015 and 6021

(i) The GCF of 6015 and 6021 is associative

GCF of 6015 and 6021 = GCF of 6021 and 6015

Related Greatest Common Factor of 6015

Related Greatest Common Factor of 6021

Frequently Asked Questions on GCF of 6015 and 6021

1. What is the GCF of 6015 and 6021?

Answer: GCF of 6015 and 6021 is 3.

2. What are the Factors of 6015?

Answer: Factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015. There are 8 integers that are factors of 6015. The greatest factor of 6015 is 6015.

3. What are the Factors of 6021?

Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.

4. How to Find the GCF of 6015 and 6021?

Answer:

Greatest Common Factor of 6015 and 6021 = 3

Step 1: Find the prime factorization of 6015

6015 = 3 x 5 x 401

Step 2: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

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 6015 and 6021 is 3