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 5859, 5867 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5859 and 5867 is 1.
GCF(5859,5867) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5859
3 | 5859 |
3 | 1953 |
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 5859 are 3,7,31. Prime factorization of 5859 in exponential form is:
5859 = 33×71×311
Prime Factorization of 5867
5867 | 5867 |
1 |
Prime factors of 5867 are 5867. Prime factorization of 5867 in exponential form is:
5867 = 58671
∴ So by taking common prime factors GCF of 5859 and 5867 is 1
Factors of 5859
List of positive integer factors of 5859 that divides 5859 without a remainder.
1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Factors of 5867
List of positive integer factors of 5867 that divides 5867 without a remainder.
1,5867
Greatest Common Factor
We found the factors and prime factorization of 5859 and 5867. The biggest common factor number is the GCF number.
So the greatest common factor 5859 and 5867 is 1.
Also check out the Least Common Multiple of 5859 and 5867
(i) The GCF of 5859 and 5867 is associative
GCF of 5859 and 5867 = GCF of 5867 and 5859
1. What is the GCF of 5859 and 5867?
Answer: GCF of 5859 and 5867 is 1.
2. What are the Factors of 5859?
Answer: Factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859. There are 16 integers that are factors of 5859. The greatest factor of 5859 is 5859.
3. What are the Factors of 5867?
Answer: Factors of 5867 are 1, 5867. There are 2 integers that are factors of 5867. The greatest factor of 5867 is 5867.
4. How to Find the GCF of 5859 and 5867?
Answer:
Greatest Common Factor of 5859 and 5867 = 1
Step 1: Find the prime factorization of 5859
5859 = 3 x 3 x 3 x 7 x 31
Step 2: Find the prime factorization of 5867
5867 = 5867
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 5859 and 5867 is 1