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 5822, 5830 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5822 and 5830 is 2.
GCF(5822,5830) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5822
2 | 5822 |
41 | 2911 |
71 | 71 |
1 |
Prime factors of 5822 are 2,41,71. Prime factorization of 5822 in exponential form is:
5822 = 21×411×711
Prime Factorization of 5830
2 | 5830 |
5 | 2915 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 5830 are 2,5,11,53. Prime factorization of 5830 in exponential form is:
5830 = 21×51×111×531
∴ So by taking common prime factors GCF of 5822 and 5830 is 2
Factors of 5822
List of positive integer factors of 5822 that divides 5822 without a remainder.
1,2,41,71,82,142,2911,5822
Factors of 5830
List of positive integer factors of 5830 that divides 5830 without a remainder.
1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Greatest Common Factor
We found the factors and prime factorization of 5822 and 5830. The biggest common factor number is the GCF number.
So the greatest common factor 5822 and 5830 is 2.
Also check out the Least Common Multiple of 5822 and 5830
(i) The GCF of 5822 and 5830 is associative
GCF of 5822 and 5830 = GCF of 5830 and 5822
1. What is the GCF of 5822 and 5830?
Answer: GCF of 5822 and 5830 is 2.
2. What are the Factors of 5822?
Answer: Factors of 5822 are 1, 2, 41, 71, 82, 142, 2911, 5822. There are 8 integers that are factors of 5822. The greatest factor of 5822 is 5822.
3. What are the Factors of 5830?
Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.
4. How to Find the GCF of 5822 and 5830?
Answer:
Greatest Common Factor of 5822 and 5830 = 2
Step 1: Find the prime factorization of 5822
5822 = 2 x 41 x 71
Step 2: Find the prime factorization of 5830
5830 = 2 x 5 x 11 x 53
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 5822 and 5830 is 2