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 8586, 8590 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8586 and 8590 is 2.
GCF(8586,8590) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8586
2 | 8586 |
3 | 4293 |
3 | 1431 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 8586 are 2,3,53. Prime factorization of 8586 in exponential form is:
8586 = 21×34×531
Prime Factorization of 8590
2 | 8590 |
5 | 4295 |
859 | 859 |
1 |
Prime factors of 8590 are 2,5,859. Prime factorization of 8590 in exponential form is:
8590 = 21×51×8591
∴ So by taking common prime factors GCF of 8586 and 8590 is 2
Factors of 8586
List of positive integer factors of 8586 that divides 8586 without a remainder.
1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Factors of 8590
List of positive integer factors of 8590 that divides 8590 without a remainder.
1,2,5,10,859,1718,4295,8590
Greatest Common Factor
We found the factors and prime factorization of 8586 and 8590. The biggest common factor number is the GCF number.
So the greatest common factor 8586 and 8590 is 2.
Also check out the Least Common Multiple of 8586 and 8590
(i) The GCF of 8586 and 8590 is associative
GCF of 8586 and 8590 = GCF of 8590 and 8586
1. What is the GCF of 8586 and 8590?
Answer: GCF of 8586 and 8590 is 2.
2. What are the Factors of 8586?
Answer: Factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586. There are 20 integers that are factors of 8586. The greatest factor of 8586 is 8586.
3. What are the Factors of 8590?
Answer: Factors of 8590 are 1, 2, 5, 10, 859, 1718, 4295, 8590. There are 8 integers that are factors of 8590. The greatest factor of 8590 is 8590.
4. How to Find the GCF of 8586 and 8590?
Answer:
Greatest Common Factor of 8586 and 8590 = 2
Step 1: Find the prime factorization of 8586
8586 = 2 x 3 x 3 x 3 x 3 x 53
Step 2: Find the prime factorization of 8590
8590 = 2 x 5 x 859
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 8586 and 8590 is 2