Greatest Common Factor of 6024 and 6031

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, 6031 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6024 and 6031 is 1.

GCF(6024,6031) = 1

GCF of 6024 and 6031

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

GCF of:
and

Greatest Common Factor of 6024 and 6031

GCF of 6024 and 6031 is 1

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 6031


37 6031
163 163
1

Prime factors of 6031 are 37,163. Prime factorization of 6031 in exponential form is:

6031 = 371×1631

∴ So by taking common prime factors GCF of 6024 and 6031 is 1

Greatest Common Factor of 6024 and 6031 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 6031

List of positive integer factors of 6031 that divides 6031 without a remainder.

1,37,163,6031

Greatest Common Factor

We found the factors and prime factorization of 6024 and 6031. The biggest common factor number is the GCF number.
So the greatest common factor 6024 and 6031 is 1.

Also check out the Least Common Multiple of 6024 and 6031

Properties of GCF 6024 and 6031

(i) The GCF of 6024 and 6031 is associative

GCF of 6024 and 6031 = GCF of 6031 and 6024

Related Greatest Common Factor of 6024

Related Greatest Common Factor of 6031

Frequently Asked Questions on GCF of 6024 and 6031

1. What is the GCF of 6024 and 6031?

Answer: GCF of 6024 and 6031 is 1.

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 6031?

Answer: Factors of 6031 are 1, 37, 163, 6031. There are 4 integers that are factors of 6031. The greatest factor of 6031 is 6031.

4. How to Find the GCF of 6024 and 6031?

Answer:

Greatest Common Factor of 6024 and 6031 = 1

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 6031

6031 = 37 x 163

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6024 and 6031 is 1