Greatest Common Factor of 6084 and 6091

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, 6091 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6084 and 6091 is 1.

GCF(6084,6091) = 1

GCF of 6084 and 6091

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

GCF of:
and

Greatest Common Factor of 6084 and 6091

GCF of 6084 and 6091 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 6091


6091 6091
1

Prime factors of 6091 are 6091. Prime factorization of 6091 in exponential form is:

6091 = 60911

∴ So by taking common prime factors GCF of 6084 and 6091 is 1

Greatest Common Factor of 6084 and 6091 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 6091

List of positive integer factors of 6091 that divides 6091 without a remainder.

1,6091

Greatest Common Factor

We found the factors and prime factorization of 6084 and 6091. The biggest common factor number is the GCF number.
So the greatest common factor 6084 and 6091 is 1.

Also check out the Least Common Multiple of 6084 and 6091

Properties of GCF 6084 and 6091

(i) The GCF of 6084 and 6091 is associative

GCF of 6084 and 6091 = GCF of 6091 and 6084

Frequently Asked Questions on GCF of 6084 and 6091

1. What is the GCF of 6084 and 6091?

Answer: GCF of 6084 and 6091 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 6091?

Answer: Factors of 6091 are 1, 6091. There are 2 integers that are factors of 6091. The greatest factor of 6091 is 6091.

4. How to Find the GCF of 6084 and 6091?

Answer:

Greatest Common Factor of 6084 and 6091 = 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 6091

6091 = 6091

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 6091 is 1