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 5805, 5811 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5805 and 5811 is 3.
GCF(5805,5811) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5805
3 | 5805 |
3 | 1935 |
3 | 645 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 5805 are 3,5,43. Prime factorization of 5805 in exponential form is:
5805 = 33×51×431
Prime Factorization of 5811
3 | 5811 |
13 | 1937 |
149 | 149 |
1 |
Prime factors of 5811 are 3,13,149. Prime factorization of 5811 in exponential form is:
5811 = 31×131×1491
∴ So by taking common prime factors GCF of 5805 and 5811 is 3
Factors of 5805
List of positive integer factors of 5805 that divides 5805 without a remainder.
1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Factors of 5811
List of positive integer factors of 5811 that divides 5811 without a remainder.
1,3,13,39,149,447,1937,5811
Greatest Common Factor
We found the factors and prime factorization of 5805 and 5811. The biggest common factor number is the GCF number.
So the greatest common factor 5805 and 5811 is 3.
Also check out the Least Common Multiple of 5805 and 5811
(i) The GCF of 5805 and 5811 is associative
GCF of 5805 and 5811 = GCF of 5811 and 5805
1. What is the GCF of 5805 and 5811?
Answer: GCF of 5805 and 5811 is 3.
2. What are the Factors of 5805?
Answer: Factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805. There are 16 integers that are factors of 5805. The greatest factor of 5805 is 5805.
3. What are the Factors of 5811?
Answer: Factors of 5811 are 1, 3, 13, 39, 149, 447, 1937, 5811. There are 8 integers that are factors of 5811. The greatest factor of 5811 is 5811.
4. How to Find the GCF of 5805 and 5811?
Answer:
Greatest Common Factor of 5805 and 5811 = 3
Step 1: Find the prime factorization of 5805
5805 = 3 x 3 x 3 x 5 x 43
Step 2: Find the prime factorization of 5811
5811 = 3 x 13 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5805 and 5811 is 3