Greatest Common Factor of 6084 and 6085

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, 6085 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6084 and 6085 is 1.

GCF(6084,6085) = 1

GCF of 6084 and 6085

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

GCF of:
and

Greatest Common Factor of 6084 and 6085

GCF of 6084 and 6085 is 1

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 6085


5 6085
1217 1217
1

Prime factors of 6085 are 5,1217. Prime factorization of 6085 in exponential form is:

6085 = 51×12171

∴ So by taking common prime factors GCF of 6084 and 6085 is 1

Greatest Common Factor of 6084 and 6085 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 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1,5,1217,6085

Greatest Common Factor

We found the factors and prime factorization of 6084 and 6085. The biggest common factor number is the GCF number.
So the greatest common factor 6084 and 6085 is 1.

Also check out the Least Common Multiple of 6084 and 6085

Properties of GCF 6084 and 6085

(i) The GCF of 6084 and 6085 is associative

GCF of 6084 and 6085 = GCF of 6085 and 6084

Related Greatest Common Factor of 6084

Related Greatest Common Factor of 6085

Frequently Asked Questions on GCF of 6084 and 6085

1. What is the GCF of 6084 and 6085?

Answer: GCF of 6084 and 6085 is 1.

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 6085?

Answer: Factors of 6085 are 1, 5, 1217, 6085. There are 4 integers that are factors of 6085. The greatest factor of 6085 is 6085.

4. How to Find the GCF of 6084 and 6085?

Answer:

Greatest Common Factor of 6084 and 6085 = 1

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 6085

6085 = 5 x 1217

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6084 and 6085 is 1