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 5788, 5794 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5788 and 5794 is 2.
GCF(5788,5794) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5788
2 | 5788 |
2 | 2894 |
1447 | 1447 |
1 |
Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:
5788 = 22×14471
Prime Factorization of 5794
2 | 5794 |
2897 | 2897 |
1 |
Prime factors of 5794 are 2,2897. Prime factorization of 5794 in exponential form is:
5794 = 21×28971
∴ So by taking common prime factors GCF of 5788 and 5794 is 2
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1,2,4,1447,2894,5788
Factors of 5794
List of positive integer factors of 5794 that divides 5794 without a remainder.
1,2,2897,5794
Greatest Common Factor
We found the factors and prime factorization of 5788 and 5794. The biggest common factor number is the GCF number.
So the greatest common factor 5788 and 5794 is 2.
Also check out the Least Common Multiple of 5788 and 5794
(i) The GCF of 5788 and 5794 is associative
GCF of 5788 and 5794 = GCF of 5794 and 5788
1. What is the GCF of 5788 and 5794?
Answer: GCF of 5788 and 5794 is 2.
2. What are the Factors of 5788?
Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.
3. What are the Factors of 5794?
Answer: Factors of 5794 are 1, 2, 2897, 5794. There are 4 integers that are factors of 5794. The greatest factor of 5794 is 5794.
4. How to Find the GCF of 5788 and 5794?
Answer:
Greatest Common Factor of 5788 and 5794 = 2
Step 1: Find the prime factorization of 5788
5788 = 2 x 2 x 1447
Step 2: Find the prime factorization of 5794
5794 = 2 x 2897
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5788 and 5794 is 2