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 4580, 4582 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4580 and 4582 is 2.
GCF(4580,4582) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4580
2 | 4580 |
2 | 2290 |
5 | 1145 |
229 | 229 |
1 |
Prime factors of 4580 are 2,5,229. Prime factorization of 4580 in exponential form is:
4580 = 22×51×2291
Prime Factorization of 4582
2 | 4582 |
29 | 2291 |
79 | 79 |
1 |
Prime factors of 4582 are 2,29,79. Prime factorization of 4582 in exponential form is:
4582 = 21×291×791
∴ So by taking common prime factors GCF of 4580 and 4582 is 2
Factors of 4580
List of positive integer factors of 4580 that divides 4580 without a remainder.
1,2,4,5,10,20,229,458,916,1145,2290,4580
Factors of 4582
List of positive integer factors of 4582 that divides 4582 without a remainder.
1,2,29,58,79,158,2291,4582
Greatest Common Factor
We found the factors and prime factorization of 4580 and 4582. The biggest common factor number is the GCF number.
So the greatest common factor 4580 and 4582 is 2.
Also check out the Least Common Multiple of 4580 and 4582
(i) The GCF of 4580 and 4582 is associative
GCF of 4580 and 4582 = GCF of 4582 and 4580
1. What is the GCF of 4580 and 4582?
Answer: GCF of 4580 and 4582 is 2.
2. What are the Factors of 4580?
Answer: Factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580. There are 12 integers that are factors of 4580. The greatest factor of 4580 is 4580.
3. What are the Factors of 4582?
Answer: Factors of 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582. There are 8 integers that are factors of 4582. The greatest factor of 4582 is 4582.
4. How to Find the GCF of 4580 and 4582?
Answer:
Greatest Common Factor of 4580 and 4582 = 2
Step 1: Find the prime factorization of 4580
4580 = 2 x 2 x 5 x 229
Step 2: Find the prime factorization of 4582
4582 = 2 x 29 x 79
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 4580 and 4582 is 2