Greatest Common Factor of 6021 and 6023

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 6021, 6023 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6021 and 6023 is 1.

GCF(6021,6023) = 1

GCF of 6021 and 6023

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

GCF of:
and

Greatest Common Factor of 6021 and 6023

GCF of 6021 and 6023 is 1

Prime Factorization of 6021


3 6021
3 2007
3 669
223 223
1

Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:

6021 = 33×2231

Prime Factorization of 6023


19 6023
317 317
1

Prime factors of 6023 are 19,317. Prime factorization of 6023 in exponential form is:

6023 = 191×3171

∴ So by taking common prime factors GCF of 6021 and 6023 is 1

Greatest Common Factor of 6021 and 6023 by matching factors method

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1,3,9,27,223,669,2007,6021

Factors of 6023

List of positive integer factors of 6023 that divides 6023 without a remainder.

1,19,317,6023

Greatest Common Factor

We found the factors and prime factorization of 6021 and 6023. The biggest common factor number is the GCF number.
So the greatest common factor 6021 and 6023 is 1.

Also check out the Least Common Multiple of 6021 and 6023

Properties of GCF 6021 and 6023

(i) The GCF of 6021 and 6023 is associative

GCF of 6021 and 6023 = GCF of 6023 and 6021

Frequently Asked Questions on GCF of 6021 and 6023

1. What is the GCF of 6021 and 6023?

Answer: GCF of 6021 and 6023 is 1.

2. What are the Factors of 6021?

Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.

3. What are the Factors of 6023?

Answer: Factors of 6023 are 1, 19, 317, 6023. There are 4 integers that are factors of 6023. The greatest factor of 6023 is 6023.

4. How to Find the GCF of 6021 and 6023?

Answer:

Greatest Common Factor of 6021 and 6023 = 1

Step 1: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

Step 2: Find the prime factorization of 6023

6023 = 19 x 317

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 6021 and 6023 is 1