Greatest Common Factor of 6020 and 6024

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 6020, 6024 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6020 and 6024 is 4.

GCF(6020,6024) = 4

GCF of 6020 and 6024

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

GCF of:
and

Greatest Common Factor of 6020 and 6024

GCF of 6020 and 6024 is 4

Prime Factorization of 6020


2 6020
2 3010
5 1505
7 301
43 43
1

Prime factors of 6020 are 2,5,7,43. Prime factorization of 6020 in exponential form is:

6020 = 22×51×71×431

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

∴ So by taking common prime factors GCF of 6020 and 6024 is 4

Greatest Common Factor of 6020 and 6024 by matching factors method

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

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

Greatest Common Factor

We found the factors and prime factorization of 6020 and 6024. The biggest common factor number is the GCF number.
So the greatest common factor 6020 and 6024 is 4.

Also check out the Least Common Multiple of 6020 and 6024

Properties of GCF 6020 and 6024

(i) The GCF of 6020 and 6024 is associative

GCF of 6020 and 6024 = GCF of 6024 and 6020

Related Greatest Common Factor of 6020

Related Greatest Common Factor of 6024

Frequently Asked Questions on GCF of 6020 and 6024

1. What is the GCF of 6020 and 6024?

Answer: GCF of 6020 and 6024 is 4.

2. What are the Factors of 6020?

Answer: Factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020. There are 24 integers that are factors of 6020. The greatest factor of 6020 is 6020.

3. 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.

4. How to Find the GCF of 6020 and 6024?

Answer:

Greatest Common Factor of 6020 and 6024 = 4

Step 1: Find the prime factorization of 6020

6020 = 2 x 2 x 5 x 7 x 43

Step 2: Find the prime factorization of 6024

6024 = 2 x 2 x 2 x 3 x 251

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6020 and 6024 is 4