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 5836, 5843 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5836 and 5843 is 1.
GCF(5836,5843) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5836
2 | 5836 |
2 | 2918 |
1459 | 1459 |
1 |
Prime factors of 5836 are 2,1459. Prime factorization of 5836 in exponential form is:
5836 = 22×14591
Prime Factorization of 5843
5843 | 5843 |
1 |
Prime factors of 5843 are 5843. Prime factorization of 5843 in exponential form is:
5843 = 58431
∴ So by taking common prime factors GCF of 5836 and 5843 is 1
Factors of 5836
List of positive integer factors of 5836 that divides 5836 without a remainder.
1,2,4,1459,2918,5836
Factors of 5843
List of positive integer factors of 5843 that divides 5843 without a remainder.
1,5843
Greatest Common Factor
We found the factors and prime factorization of 5836 and 5843. The biggest common factor number is the GCF number.
So the greatest common factor 5836 and 5843 is 1.
Also check out the Least Common Multiple of 5836 and 5843
(i) The GCF of 5836 and 5843 is associative
GCF of 5836 and 5843 = GCF of 5843 and 5836
1. What is the GCF of 5836 and 5843?
Answer: GCF of 5836 and 5843 is 1.
2. What are the Factors of 5836?
Answer: Factors of 5836 are 1, 2, 4, 1459, 2918, 5836. There are 6 integers that are factors of 5836. The greatest factor of 5836 is 5836.
3. What are the Factors of 5843?
Answer: Factors of 5843 are 1, 5843. There are 2 integers that are factors of 5843. The greatest factor of 5843 is 5843.
4. How to Find the GCF of 5836 and 5843?
Answer:
Greatest Common Factor of 5836 and 5843 = 1
Step 1: Find the prime factorization of 5836
5836 = 2 x 2 x 1459
Step 2: Find the prime factorization of 5843
5843 = 5843
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 5836 and 5843 is 1