Greatest Common Factor of 6057 and 6063

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 6057, 6063 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6057 and 6063 is 3.

GCF(6057,6063) = 3

GCF of 6057 and 6063

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

GCF of:
and

Greatest Common Factor of 6057 and 6063

GCF of 6057 and 6063 is 3

Prime Factorization of 6057


3 6057
3 2019
673 673
1

Prime factors of 6057 are 3,673. Prime factorization of 6057 in exponential form is:

6057 = 32×6731

Prime Factorization of 6063


3 6063
43 2021
47 47
1

Prime factors of 6063 are 3,43,47. Prime factorization of 6063 in exponential form is:

6063 = 31×431×471

∴ So by taking common prime factors GCF of 6057 and 6063 is 3

Greatest Common Factor of 6057 and 6063 by matching factors method

Factors of 6057

List of positive integer factors of 6057 that divides 6057 without a remainder.

1,3,9,673,2019,6057

Factors of 6063

List of positive integer factors of 6063 that divides 6063 without a remainder.

1,3,43,47,129,141,2021,6063

Greatest Common Factor

We found the factors and prime factorization of 6057 and 6063. The biggest common factor number is the GCF number.
So the greatest common factor 6057 and 6063 is 3.

Also check out the Least Common Multiple of 6057 and 6063

Properties of GCF 6057 and 6063

(i) The GCF of 6057 and 6063 is associative

GCF of 6057 and 6063 = GCF of 6063 and 6057

Related Greatest Common Factor of 6057

Related Greatest Common Factor of 6063

Frequently Asked Questions on GCF of 6057 and 6063

1. What is the GCF of 6057 and 6063?

Answer: GCF of 6057 and 6063 is 3.

2. What are the Factors of 6057?

Answer: Factors of 6057 are 1, 3, 9, 673, 2019, 6057. There are 6 integers that are factors of 6057. The greatest factor of 6057 is 6057.

3. What are the Factors of 6063?

Answer: Factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063. There are 8 integers that are factors of 6063. The greatest factor of 6063 is 6063.

4. How to Find the GCF of 6057 and 6063?

Answer:

Greatest Common Factor of 6057 and 6063 = 3

Step 1: Find the prime factorization of 6057

6057 = 3 x 3 x 673

Step 2: Find the prime factorization of 6063

6063 = 3 x 43 x 47

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6057 and 6063 is 3