Greatest Common Factor of 6024 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 6024, 6027 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6024 and 6027 is 3.

GCF(6024,6027) = 3

GCF of 6024 and 6027

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

GCF of:
and

Greatest Common Factor of 6024 and 6027

GCF of 6024 and 6027 is 3

Prime Factorization of 6024


2 6024
2 3012
2 1506
3 753
251 251
1

Prime factors of 6024 are 2,3,251. Prime factorization of 6024 in exponential form is:

6024 = 23×31×2511

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 6024 and 6027 is 3

Greatest Common Factor of 6024 and 6027 by matching factors method

Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

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 6024 and 6027. The biggest common factor number is the GCF number.
So the greatest common factor 6024 and 6027 is 3.

Also check out the Least Common Multiple of 6024 and 6027

Properties of GCF 6024 and 6027

(i) The GCF of 6024 and 6027 is associative

GCF of 6024 and 6027 = GCF of 6027 and 6024

Related Greatest Common Factor of 6024

Related Greatest Common Factor of 6027

Frequently Asked Questions on GCF of 6024 and 6027

1. What is the GCF of 6024 and 6027?

Answer: GCF of 6024 and 6027 is 3.

2. What are the Factors of 6024?

Answer: Factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024. There are 16 integers that are factors of 6024. The greatest factor of 6024 is 6024.

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 6024 and 6027?

Answer:

Greatest Common Factor of 6024 and 6027 = 3

Step 1: Find the prime factorization of 6024

6024 = 2 x 2 x 2 x 3 x 251

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 6024 and 6027 is 3