Greatest Common Factor of 6021 and 6027

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 6021, 6027 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6021 and 6027 is 3.

GCF(6021,6027) = 3

GCF of 6021 and 6027

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

GCF of:
and

Greatest Common Factor of 6021 and 6027

GCF of 6021 and 6027 is 3

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

Prime Factorization of 6027


3 6027
7 2009
7 287
41 41
1

Prime factors of 6027 are 3,7,41. Prime factorization of 6027 in exponential form is:

6027 = 31×72×411

∴ So by taking common prime factors GCF of 6021 and 6027 is 3

Greatest Common Factor of 6021 and 6027 by matching factors method

Factors of 6021

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

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

Factors of 6027

List of positive integer factors of 6027 that divides 6027 without a remainder.

1,3,7,21,41,49,123,147,287,861,2009,6027

Greatest Common Factor

We found the factors and prime factorization of 6021 and 6027. The biggest common factor number is the GCF number.
So the greatest common factor 6021 and 6027 is 3.

Also check out the Least Common Multiple of 6021 and 6027

Properties of GCF 6021 and 6027

(i) The GCF of 6021 and 6027 is associative

GCF of 6021 and 6027 = GCF of 6027 and 6021

Frequently Asked Questions on GCF of 6021 and 6027

1. What is the GCF of 6021 and 6027?

Answer: GCF of 6021 and 6027 is 3.

2. 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.

3. What are the Factors of 6027?

Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.

4. How to Find the GCF of 6021 and 6027?

Answer:

Greatest Common Factor of 6021 and 6027 = 3

Step 1: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

Step 2: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

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 6021 and 6027 is 3