Greatest Common Factor of 6090 and 6093

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 6090, 6093 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6090 and 6093 is 3.

GCF(6090,6093) = 3

GCF of 6090 and 6093

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

GCF of:
and

Greatest Common Factor of 6090 and 6093

GCF of 6090 and 6093 is 3

Prime Factorization of 6090


2 6090
3 3045
5 1015
7 203
29 29
1

Prime factors of 6090 are 2,3,5,7,29. Prime factorization of 6090 in exponential form is:

6090 = 21×31×51×71×291

Prime Factorization of 6093


3 6093
3 2031
677 677
1

Prime factors of 6093 are 3,677. Prime factorization of 6093 in exponential form is:

6093 = 32×6771

∴ So by taking common prime factors GCF of 6090 and 6093 is 3

Greatest Common Factor of 6090 and 6093 by matching factors method

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Factors of 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1,3,9,677,2031,6093

Greatest Common Factor

We found the factors and prime factorization of 6090 and 6093. The biggest common factor number is the GCF number.
So the greatest common factor 6090 and 6093 is 3.

Also check out the Least Common Multiple of 6090 and 6093

Properties of GCF 6090 and 6093

(i) The GCF of 6090 and 6093 is associative

GCF of 6090 and 6093 = GCF of 6093 and 6090

Related Greatest Common Factor of 6090

Related Greatest Common Factor of 6093

Frequently Asked Questions on GCF of 6090 and 6093

1. What is the GCF of 6090 and 6093?

Answer: GCF of 6090 and 6093 is 3.

2. What are the Factors of 6090?

Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.

3. What are the Factors of 6093?

Answer: Factors of 6093 are 1, 3, 9, 677, 2031, 6093. There are 6 integers that are factors of 6093. The greatest factor of 6093 is 6093.

4. How to Find the GCF of 6090 and 6093?

Answer:

Greatest Common Factor of 6090 and 6093 = 3

Step 1: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 6093

6093 = 3 x 3 x 677

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 6090 and 6093 is 3