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, 5812 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5804 and 5812 is 4.
GCF(5804,5812) = 4
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 5812
2 | 5812 |
2 | 2906 |
1453 | 1453 |
1 |
Prime factors of 5812 are 2,1453. Prime factorization of 5812 in exponential form is:
5812 = 22×14531
∴ So by taking common prime factors GCF of 5804 and 5812 is 4
Factors of 5804
List of positive integer factors of 5804 that divides 5804 without a remainder.
1,2,4,1451,2902,5804
Factors of 5812
List of positive integer factors of 5812 that divides 5812 without a remainder.
1,2,4,1453,2906,5812
Greatest Common Factor
We found the factors and prime factorization of 5804 and 5812. The biggest common factor number is the GCF number.
So the greatest common factor 5804 and 5812 is 4.
Also check out the Least Common Multiple of 5804 and 5812
(i) The GCF of 5804 and 5812 is associative
GCF of 5804 and 5812 = GCF of 5812 and 5804
1. What is the GCF of 5804 and 5812?
Answer: GCF of 5804 and 5812 is 4.
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 5812?
Answer: Factors of 5812 are 1, 2, 4, 1453, 2906, 5812. There are 6 integers that are factors of 5812. The greatest factor of 5812 is 5812.
4. How to Find the GCF of 5804 and 5812?
Answer:
Greatest Common Factor of 5804 and 5812 = 4
Step 1: Find the prime factorization of 5804
5804 = 2 x 2 x 1451
Step 2: Find the prime factorization of 5812
5812 = 2 x 2 x 1453
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5804 and 5812 is 4