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 5895, 5899 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5895 and 5899 is 1.
GCF(5895,5899) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5895
3 | 5895 |
3 | 1965 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 5895 are 3,5,131. Prime factorization of 5895 in exponential form is:
5895 = 32×51×1311
Prime Factorization of 5899
17 | 5899 |
347 | 347 |
1 |
Prime factors of 5899 are 17,347. Prime factorization of 5899 in exponential form is:
5899 = 171×3471
∴ So by taking common prime factors GCF of 5895 and 5899 is 1
Factors of 5895
List of positive integer factors of 5895 that divides 5895 without a remainder.
1,3,5,9,15,45,131,393,655,1179,1965,5895
Factors of 5899
List of positive integer factors of 5899 that divides 5899 without a remainder.
1,17,347,5899
Greatest Common Factor
We found the factors and prime factorization of 5895 and 5899. The biggest common factor number is the GCF number.
So the greatest common factor 5895 and 5899 is 1.
Also check out the Least Common Multiple of 5895 and 5899
(i) The GCF of 5895 and 5899 is associative
GCF of 5895 and 5899 = GCF of 5899 and 5895
1. What is the GCF of 5895 and 5899?
Answer: GCF of 5895 and 5899 is 1.
2. What are the Factors of 5895?
Answer: Factors of 5895 are 1, 3, 5, 9, 15, 45, 131, 393, 655, 1179, 1965, 5895. There are 12 integers that are factors of 5895. The greatest factor of 5895 is 5895.
3. What are the Factors of 5899?
Answer: Factors of 5899 are 1, 17, 347, 5899. There are 4 integers that are factors of 5899. The greatest factor of 5899 is 5899.
4. How to Find the GCF of 5895 and 5899?
Answer:
Greatest Common Factor of 5895 and 5899 = 1
Step 1: Find the prime factorization of 5895
5895 = 3 x 3 x 5 x 131
Step 2: Find the prime factorization of 5899
5899 = 17 x 347
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 5895 and 5899 is 1