Greatest Common Factor of 6078 and 6084

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 6078, 6084 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6078 and 6084 is 6.

GCF(6078,6084) = 6

GCF of 6078 and 6084

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

GCF of:
and

Greatest Common Factor of 6078 and 6084

GCF of 6078 and 6084 is 6

Prime Factorization of 6078


2 6078
3 3039
1013 1013
1

Prime factors of 6078 are 2,3,1013. Prime factorization of 6078 in exponential form is:

6078 = 21×31×10131

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

∴ So by taking common prime factors GCF of 6078 and 6084 is 6

Greatest Common Factor of 6078 and 6084 by matching factors method

Factors of 6078

List of positive integer factors of 6078 that divides 6078 without a remainder.

1,2,3,6,1013,2026,3039,6078

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

Greatest Common Factor

We found the factors and prime factorization of 6078 and 6084. The biggest common factor number is the GCF number.
So the greatest common factor 6078 and 6084 is 6.

Also check out the Least Common Multiple of 6078 and 6084

Properties of GCF 6078 and 6084

(i) The GCF of 6078 and 6084 is associative

GCF of 6078 and 6084 = GCF of 6084 and 6078

Related Greatest Common Factor of 6078

Related Greatest Common Factor of 6084

Frequently Asked Questions on GCF of 6078 and 6084

1. What is the GCF of 6078 and 6084?

Answer: GCF of 6078 and 6084 is 6.

2. What are the Factors of 6078?

Answer: Factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078. There are 8 integers that are factors of 6078. The greatest factor of 6078 is 6078.

3. 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.

4. How to Find the GCF of 6078 and 6084?

Answer:

Greatest Common Factor of 6078 and 6084 = 6

Step 1: Find the prime factorization of 6078

6078 = 2 x 3 x 1013

Step 2: Find the prime factorization of 6084

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

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 6078 and 6084 is 6