Greatest Common Factor of 6084 and 6090

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 6084, 6090 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6084 and 6090 is 6.

GCF(6084,6090) = 6

GCF of 6084 and 6090

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

GCF of:
and

Greatest Common Factor of 6084 and 6090

GCF of 6084 and 6090 is 6

Prime Factorization of 6084


2 6084
2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 6084 are 2,3,13. Prime factorization of 6084 in exponential form is:

6084 = 22×32×132

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

∴ So by taking common prime factors GCF of 6084 and 6090 is 6

Greatest Common Factor of 6084 and 6090 by matching factors method

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084

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

Greatest Common Factor

We found the factors and prime factorization of 6084 and 6090. The biggest common factor number is the GCF number.
So the greatest common factor 6084 and 6090 is 6.

Also check out the Least Common Multiple of 6084 and 6090

Properties of GCF 6084 and 6090

(i) The GCF of 6084 and 6090 is associative

GCF of 6084 and 6090 = GCF of 6090 and 6084

Related Greatest Common Factor of 6084

Related Greatest Common Factor of 6090

Frequently Asked Questions on GCF of 6084 and 6090

1. What is the GCF of 6084 and 6090?

Answer: GCF of 6084 and 6090 is 6.

2. What are the Factors of 6084?

Answer: Factors of 6084 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. There are 27 integers that are factors of 6084. The greatest factor of 6084 is 6084.

3. 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.

4. How to Find the GCF of 6084 and 6090?

Answer:

Greatest Common Factor of 6084 and 6090 = 6

Step 1: Find the prime factorization of 6084

6084 = 2 x 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6084 and 6090 is 6