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, 8593 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8585 and 8593 is 1.
GCF(8585,8593) = 1
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 8593
13 | 8593 |
661 | 661 |
1 |
Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:
8593 = 131×6611
∴ So by taking common prime factors GCF of 8585 and 8593 is 1
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 8593
List of positive integer factors of 8593 that divides 8593 without a remainder.
1,13,661,8593
Greatest Common Factor
We found the factors and prime factorization of 8585 and 8593. The biggest common factor number is the GCF number.
So the greatest common factor 8585 and 8593 is 1.
Also check out the Least Common Multiple of 8585 and 8593
(i) The GCF of 8585 and 8593 is associative
GCF of 8585 and 8593 = GCF of 8593 and 8585
1. What is the GCF of 8585 and 8593?
Answer: GCF of 8585 and 8593 is 1.
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 8593?
Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.
4. How to Find the GCF of 8585 and 8593?
Answer:
Greatest Common Factor of 8585 and 8593 = 1
Step 1: Find the prime factorization of 8585
8585 = 5 x 17 x 101
Step 2: Find the prime factorization of 8593
8593 = 13 x 661
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8585 and 8593 is 1