Greatest Common Factor of 6024 and 6026

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, 6026 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6024 and 6026 is 2.

GCF(6024,6026) = 2

GCF of 6024 and 6026

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

GCF of:
and

Greatest Common Factor of 6024 and 6026

GCF of 6024 and 6026 is 2

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 6026


2 6026
23 3013
131 131
1

Prime factors of 6026 are 2,23,131. Prime factorization of 6026 in exponential form is:

6026 = 21×231×1311

∴ So by taking common prime factors GCF of 6024 and 6026 is 2

Greatest Common Factor of 6024 and 6026 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 6026

List of positive integer factors of 6026 that divides 6026 without a remainder.

1,2,23,46,131,262,3013,6026

Greatest Common Factor

We found the factors and prime factorization of 6024 and 6026. The biggest common factor number is the GCF number.
So the greatest common factor 6024 and 6026 is 2.

Also check out the Least Common Multiple of 6024 and 6026

Properties of GCF 6024 and 6026

(i) The GCF of 6024 and 6026 is associative

GCF of 6024 and 6026 = GCF of 6026 and 6024

Related Greatest Common Factor of 6024

Related Greatest Common Factor of 6026

Frequently Asked Questions on GCF of 6024 and 6026

1. What is the GCF of 6024 and 6026?

Answer: GCF of 6024 and 6026 is 2.

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 6026?

Answer: Factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026. There are 8 integers that are factors of 6026. The greatest factor of 6026 is 6026.

4. How to Find the GCF of 6024 and 6026?

Answer:

Greatest Common Factor of 6024 and 6026 = 2

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 6026

6026 = 2 x 23 x 131

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6024 and 6026 is 2