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 5804, 5809 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5804 and 5809 is 1.
GCF(5804,5809) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5804
2 | 5804 |
2 | 2902 |
1451 | 1451 |
1 |
Prime factors of 5804 are 2,1451. Prime factorization of 5804 in exponential form is:
5804 = 22×14511
Prime Factorization of 5809
37 | 5809 |
157 | 157 |
1 |
Prime factors of 5809 are 37,157. Prime factorization of 5809 in exponential form is:
5809 = 371×1571
∴ So by taking common prime factors GCF of 5804 and 5809 is 1
Factors of 5804
List of positive integer factors of 5804 that divides 5804 without a remainder.
1,2,4,1451,2902,5804
Factors of 5809
List of positive integer factors of 5809 that divides 5809 without a remainder.
1,37,157,5809
Greatest Common Factor
We found the factors and prime factorization of 5804 and 5809. The biggest common factor number is the GCF number.
So the greatest common factor 5804 and 5809 is 1.
Also check out the Least Common Multiple of 5804 and 5809
(i) The GCF of 5804 and 5809 is associative
GCF of 5804 and 5809 = GCF of 5809 and 5804
1. What is the GCF of 5804 and 5809?
Answer: GCF of 5804 and 5809 is 1.
2. What are the Factors of 5804?
Answer: Factors of 5804 are 1, 2, 4, 1451, 2902, 5804. There are 6 integers that are factors of 5804. The greatest factor of 5804 is 5804.
3. What are the Factors of 5809?
Answer: Factors of 5809 are 1, 37, 157, 5809. There are 4 integers that are factors of 5809. The greatest factor of 5809 is 5809.
4. How to Find the GCF of 5804 and 5809?
Answer:
Greatest Common Factor of 5804 and 5809 = 1
Step 1: Find the prime factorization of 5804
5804 = 2 x 2 x 1451
Step 2: Find the prime factorization of 5809
5809 = 37 x 157
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 5804 and 5809 is 1