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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 6084 and 6091 is associative
GCF of 6084 and 6091 = GCF of 6091 and 6084
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