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 5889, 5893 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5889 and 5893 is 1.
GCF(5889,5893) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5889
3 | 5889 |
13 | 1963 |
151 | 151 |
1 |
Prime factors of 5889 are 3,13,151. Prime factorization of 5889 in exponential form is:
5889 = 31×131×1511
Prime Factorization of 5893
71 | 5893 |
83 | 83 |
1 |
Prime factors of 5893 are 71,83. Prime factorization of 5893 in exponential form is:
5893 = 711×831
∴ So by taking common prime factors GCF of 5889 and 5893 is 1
Factors of 5889
List of positive integer factors of 5889 that divides 5889 without a remainder.
1,3,13,39,151,453,1963,5889
Factors of 5893
List of positive integer factors of 5893 that divides 5893 without a remainder.
1,71,83,5893
Greatest Common Factor
We found the factors and prime factorization of 5889 and 5893. The biggest common factor number is the GCF number.
So the greatest common factor 5889 and 5893 is 1.
Also check out the Least Common Multiple of 5889 and 5893
(i) The GCF of 5889 and 5893 is associative
GCF of 5889 and 5893 = GCF of 5893 and 5889
1. What is the GCF of 5889 and 5893?
Answer: GCF of 5889 and 5893 is 1.
2. What are the Factors of 5889?
Answer: Factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889. There are 8 integers that are factors of 5889. The greatest factor of 5889 is 5889.
3. What are the Factors of 5893?
Answer: Factors of 5893 are 1, 71, 83, 5893. There are 4 integers that are factors of 5893. The greatest factor of 5893 is 5893.
4. How to Find the GCF of 5889 and 5893?
Answer:
Greatest Common Factor of 5889 and 5893 = 1
Step 1: Find the prime factorization of 5889
5889 = 3 x 13 x 151
Step 2: Find the prime factorization of 5893
5893 = 71 x 83
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 5889 and 5893 is 1