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 5811, 5816 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5811 and 5816 is 1.
GCF(5811,5816) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5816
2 | 5816 |
2 | 2908 |
2 | 1454 |
727 | 727 |
1 |
Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:
5816 = 23×7271
∴ So by taking common prime factors GCF of 5811 and 5816 is 1
Factors of 5811
List of positive integer factors of 5811 that divides 5811 without a remainder.
1,3,13,39,149,447,1937,5811
Factors of 5816
List of positive integer factors of 5816 that divides 5816 without a remainder.
1,2,4,8,727,1454,2908,5816
Greatest Common Factor
We found the factors and prime factorization of 5811 and 5816. The biggest common factor number is the GCF number.
So the greatest common factor 5811 and 5816 is 1.
Also check out the Least Common Multiple of 5811 and 5816
(i) The GCF of 5811 and 5816 is associative
GCF of 5811 and 5816 = GCF of 5816 and 5811
1. What is the GCF of 5811 and 5816?
Answer: GCF of 5811 and 5816 is 1.
2. 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.
3. What are the Factors of 5816?
Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.
4. How to Find the GCF of 5811 and 5816?
Answer:
Greatest Common Factor of 5811 and 5816 = 1
Step 1: Find the prime factorization of 5811
5811 = 3 x 13 x 149
Step 2: Find the prime factorization of 5816
5816 = 2 x 2 x 2 x 727
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 5811 and 5816 is 1