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 5984, 5991 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5984 and 5991 is 1.
GCF(5984,5991) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5984
2 | 5984 |
2 | 2992 |
2 | 1496 |
2 | 748 |
2 | 374 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 5984 are 2,11,17. Prime factorization of 5984 in exponential form is:
5984 = 25×111×171
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
∴ So by taking common prime factors GCF of 5984 and 5991 is 1
Factors of 5984
List of positive integer factors of 5984 that divides 5984 without a remainder.
1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Factors of 5991
List of positive integer factors of 5991 that divides 5991 without a remainder.
1,3,1997,5991
Greatest Common Factor
We found the factors and prime factorization of 5984 and 5991. The biggest common factor number is the GCF number.
So the greatest common factor 5984 and 5991 is 1.
Also check out the Least Common Multiple of 5984 and 5991
(i) The GCF of 5984 and 5991 is associative
GCF of 5984 and 5991 = GCF of 5991 and 5984
1. What is the GCF of 5984 and 5991?
Answer: GCF of 5984 and 5991 is 1.
2. What are the Factors of 5984?
Answer: Factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. There are 24 integers that are factors of 5984. The greatest factor of 5984 is 5984.
3. 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.
4. How to Find the GCF of 5984 and 5991?
Answer:
Greatest Common Factor of 5984 and 5991 = 1
Step 1: Find the prime factorization of 5984
5984 = 2 x 2 x 2 x 2 x 2 x 11 x 17
Step 2: Find the prime factorization of 5991
5991 = 3 x 1997
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 5984 and 5991 is 1