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 5991, 5994 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5991 and 5994 is 3.
GCF(5991,5994) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5991
3 | 5991 |
1997 | 1997 |
1 |
Prime factors of 5991 are 3,1997. Prime factorization of 5991 in exponential form is:
5991 = 31×19971
Prime Factorization of 5994
2 | 5994 |
3 | 2997 |
3 | 999 |
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 5994 are 2,3,37. Prime factorization of 5994 in exponential form is:
5994 = 21×34×371
∴ So by taking common prime factors GCF of 5991 and 5994 is 3
Factors of 5991
List of positive integer factors of 5991 that divides 5991 without a remainder.
1,3,1997,5991
Factors of 5994
List of positive integer factors of 5994 that divides 5994 without a remainder.
1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994
Greatest Common Factor
We found the factors and prime factorization of 5991 and 5994. The biggest common factor number is the GCF number.
So the greatest common factor 5991 and 5994 is 3.
Also check out the Least Common Multiple of 5991 and 5994
(i) The GCF of 5991 and 5994 is associative
GCF of 5991 and 5994 = GCF of 5994 and 5991
1. What is the GCF of 5991 and 5994?
Answer: GCF of 5991 and 5994 is 3.
2. What are the Factors of 5991?
Answer: Factors of 5991 are 1, 3, 1997, 5991. There are 4 integers that are factors of 5991. The greatest factor of 5991 is 5991.
3. What are the Factors of 5994?
Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.
4. How to Find the GCF of 5991 and 5994?
Answer:
Greatest Common Factor of 5991 and 5994 = 3
Step 1: Find the prime factorization of 5991
5991 = 3 x 1997
Step 2: Find the prime factorization of 5994
5994 = 2 x 3 x 3 x 3 x 3 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5991 and 5994 is 3