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 5790, 5793 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5790 and 5793 is 3.
GCF(5790,5793) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5790
2 | 5790 |
3 | 2895 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 5790 are 2,3,5,193. Prime factorization of 5790 in exponential form is:
5790 = 21×31×51×1931
Prime Factorization of 5793
3 | 5793 |
1931 | 1931 |
1 |
Prime factors of 5793 are 3,1931. Prime factorization of 5793 in exponential form is:
5793 = 31×19311
∴ So by taking common prime factors GCF of 5790 and 5793 is 3
Factors of 5790
List of positive integer factors of 5790 that divides 5790 without a remainder.
1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790
Factors of 5793
List of positive integer factors of 5793 that divides 5793 without a remainder.
1,3,1931,5793
Greatest Common Factor
We found the factors and prime factorization of 5790 and 5793. The biggest common factor number is the GCF number.
So the greatest common factor 5790 and 5793 is 3.
Also check out the Least Common Multiple of 5790 and 5793
(i) The GCF of 5790 and 5793 is associative
GCF of 5790 and 5793 = GCF of 5793 and 5790
1. What is the GCF of 5790 and 5793?
Answer: GCF of 5790 and 5793 is 3.
2. What are the Factors of 5790?
Answer: Factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. There are 16 integers that are factors of 5790. The greatest factor of 5790 is 5790.
3. What are the Factors of 5793?
Answer: Factors of 5793 are 1, 3, 1931, 5793. There are 4 integers that are factors of 5793. The greatest factor of 5793 is 5793.
4. How to Find the GCF of 5790 and 5793?
Answer:
Greatest Common Factor of 5790 and 5793 = 3
Step 1: Find the prime factorization of 5790
5790 = 2 x 3 x 5 x 193
Step 2: Find the prime factorization of 5793
5793 = 3 x 1931
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 5790 and 5793 is 3