Greatest Common Factor of 6045 and 6051

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 6045, 6051 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6045 and 6051 is 3.

GCF(6045,6051) = 3

GCF of 6045 and 6051

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

GCF of:
and

Greatest Common Factor of 6045 and 6051

GCF of 6045 and 6051 is 3

Prime Factorization of 6045


3 6045
5 2015
13 403
31 31
1

Prime factors of 6045 are 3,5,13,31. Prime factorization of 6045 in exponential form is:

6045 = 31×51×131×311

Prime Factorization of 6051


3 6051
2017 2017
1

Prime factors of 6051 are 3,2017. Prime factorization of 6051 in exponential form is:

6051 = 31×20171

∴ So by taking common prime factors GCF of 6045 and 6051 is 3

Greatest Common Factor of 6045 and 6051 by matching factors method

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Factors of 6051

List of positive integer factors of 6051 that divides 6051 without a remainder.

1,3,2017,6051

Greatest Common Factor

We found the factors and prime factorization of 6045 and 6051. The biggest common factor number is the GCF number.
So the greatest common factor 6045 and 6051 is 3.

Also check out the Least Common Multiple of 6045 and 6051

Properties of GCF 6045 and 6051

(i) The GCF of 6045 and 6051 is associative

GCF of 6045 and 6051 = GCF of 6051 and 6045

Related Greatest Common Factor of 6045

Related Greatest Common Factor of 6051

Frequently Asked Questions on GCF of 6045 and 6051

1. What is the GCF of 6045 and 6051?

Answer: GCF of 6045 and 6051 is 3.

2. What are the Factors of 6045?

Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.

3. What are the Factors of 6051?

Answer: Factors of 6051 are 1, 3, 2017, 6051. There are 4 integers that are factors of 6051. The greatest factor of 6051 is 6051.

4. How to Find the GCF of 6045 and 6051?

Answer:

Greatest Common Factor of 6045 and 6051 = 3

Step 1: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

Step 2: Find the prime factorization of 6051

6051 = 3 x 2017

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 6045 and 6051 is 3