Greatest Common Factor of 6024 and 6025

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, 6025 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6024 and 6025 is 1.

GCF(6024,6025) = 1

GCF of 6024 and 6025

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

GCF of:
and

Greatest Common Factor of 6024 and 6025

GCF of 6024 and 6025 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 6025


5 6025
5 1205
241 241
1

Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:

6025 = 52×2411

∴ So by taking common prime factors GCF of 6024 and 6025 is 1

Greatest Common Factor of 6024 and 6025 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 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1,5,25,241,1205,6025

Greatest Common Factor

We found the factors and prime factorization of 6024 and 6025. The biggest common factor number is the GCF number.
So the greatest common factor 6024 and 6025 is 1.

Also check out the Least Common Multiple of 6024 and 6025

Properties of GCF 6024 and 6025

(i) The GCF of 6024 and 6025 is associative

GCF of 6024 and 6025 = GCF of 6025 and 6024

Related Greatest Common Factor of 6024

Related Greatest Common Factor of 6025

Frequently Asked Questions on GCF of 6024 and 6025

1. What is the GCF of 6024 and 6025?

Answer: GCF of 6024 and 6025 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 6025?

Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.

4. How to Find the GCF of 6024 and 6025?

Answer:

Greatest Common Factor of 6024 and 6025 = 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 6025

6025 = 5 x 5 x 241

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 6025 is 1