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 5823, 5829 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5823 and 5829 is 3.
GCF(5823,5829) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5823
3 | 5823 |
3 | 1941 |
647 | 647 |
1 |
Prime factors of 5823 are 3,647. Prime factorization of 5823 in exponential form is:
5823 = 32×6471
Prime Factorization of 5829
3 | 5829 |
29 | 1943 |
67 | 67 |
1 |
Prime factors of 5829 are 3,29,67. Prime factorization of 5829 in exponential form is:
5829 = 31×291×671
∴ So by taking common prime factors GCF of 5823 and 5829 is 3
Factors of 5823
List of positive integer factors of 5823 that divides 5823 without a remainder.
1,3,9,647,1941,5823
Factors of 5829
List of positive integer factors of 5829 that divides 5829 without a remainder.
1,3,29,67,87,201,1943,5829
Greatest Common Factor
We found the factors and prime factorization of 5823 and 5829. The biggest common factor number is the GCF number.
So the greatest common factor 5823 and 5829 is 3.
Also check out the Least Common Multiple of 5823 and 5829
(i) The GCF of 5823 and 5829 is associative
GCF of 5823 and 5829 = GCF of 5829 and 5823
1. What is the GCF of 5823 and 5829?
Answer: GCF of 5823 and 5829 is 3.
2. What are the Factors of 5823?
Answer: Factors of 5823 are 1, 3, 9, 647, 1941, 5823. There are 6 integers that are factors of 5823. The greatest factor of 5823 is 5823.
3. What are the Factors of 5829?
Answer: Factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829. There are 8 integers that are factors of 5829. The greatest factor of 5829 is 5829.
4. How to Find the GCF of 5823 and 5829?
Answer:
Greatest Common Factor of 5823 and 5829 = 3
Step 1: Find the prime factorization of 5823
5823 = 3 x 3 x 647
Step 2: Find the prime factorization of 5829
5829 = 3 x 29 x 67
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 5823 and 5829 is 3