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 8585, 8590 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8585 and 8590 is 5.
GCF(8585,8590) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8585
5 | 8585 |
17 | 1717 |
101 | 101 |
1 |
Prime factors of 8585 are 5,17,101. Prime factorization of 8585 in exponential form is:
8585 = 51×171×1011
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 8585 and 8590 is 5
Factors of 8585
List of positive integer factors of 8585 that divides 8585 without a remainder.
1,5,17,85,101,505,1717,8585
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 8585 and 8590. The biggest common factor number is the GCF number.
So the greatest common factor 8585 and 8590 is 5.
Also check out the Least Common Multiple of 8585 and 8590
(i) The GCF of 8585 and 8590 is associative
GCF of 8585 and 8590 = GCF of 8590 and 8585
1. What is the GCF of 8585 and 8590?
Answer: GCF of 8585 and 8590 is 5.
2. What are the Factors of 8585?
Answer: Factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585. There are 8 integers that are factors of 8585. The greatest factor of 8585 is 8585.
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 8585 and 8590?
Answer:
Greatest Common Factor of 8585 and 8590 = 5
Step 1: Find the prime factorization of 8585
8585 = 5 x 17 x 101
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 = 5
Step 4: Therefore, the greatest common factor of 8585 and 8590 is 5