Greatest Common Factor of 6024 and 6030

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, 6030 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6024 and 6030 is 6.

GCF(6024,6030) = 6

GCF of 6024 and 6030

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

GCF of:
and

Greatest Common Factor of 6024 and 6030

GCF of 6024 and 6030 is 6

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 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2,3,5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

∴ So by taking common prime factors GCF of 6024 and 6030 is 6

Greatest Common Factor of 6024 and 6030 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 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030

Greatest Common Factor

We found the factors and prime factorization of 6024 and 6030. The biggest common factor number is the GCF number.
So the greatest common factor 6024 and 6030 is 6.

Also check out the Least Common Multiple of 6024 and 6030

Properties of GCF 6024 and 6030

(i) The GCF of 6024 and 6030 is associative

GCF of 6024 and 6030 = GCF of 6030 and 6024

Related Greatest Common Factor of 6024

Related Greatest Common Factor of 6030

Frequently Asked Questions on GCF of 6024 and 6030

1. What is the GCF of 6024 and 6030?

Answer: GCF of 6024 and 6030 is 6.

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 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

4. How to Find the GCF of 6024 and 6030?

Answer:

Greatest Common Factor of 6024 and 6030 = 6

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 6030

6030 = 2 x 3 x 3 x 5 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6024 and 6030 is 6