Greatest Common Factor of 9585 and 9589

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 9585, 9589 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9585 and 9589 is 1.

GCF(9585,9589) = 1

GCF of 9585 and 9589

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9585 and 9589

GCF of 9585 and 9589 is 1

Prime Factorization of 9585


3 9585
3 3195
3 1065
5 355
71 71
1

Prime factors of 9585 are 3,5,71. Prime factorization of 9585 in exponential form is:

9585 = 33×51×711

Prime Factorization of 9589


43 9589
223 223
1

Prime factors of 9589 are 43,223. Prime factorization of 9589 in exponential form is:

9589 = 431×2231

∴ So by taking common prime factors GCF of 9585 and 9589 is 1

Greatest Common Factor of 9585 and 9589 by matching factors method

Factors of 9585

List of positive integer factors of 9585 that divides 9585 without a remainder.

1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585

Factors of 9589

List of positive integer factors of 9589 that divides 9589 without a remainder.

1,43,223,9589

Greatest Common Factor

We found the factors and prime factorization of 9585 and 9589. The biggest common factor number is the GCF number.
So the greatest common factor 9585 and 9589 is 1.

Also check out the Least Common Multiple of 9585 and 9589

Properties of GCF 9585 and 9589

(i) The GCF of 9585 and 9589 is associative

GCF of 9585 and 9589 = GCF of 9589 and 9585

Related Greatest Common Factor of 9585

Related Greatest Common Factor of 9589

Frequently Asked Questions on GCF of 9585 and 9589

1. What is the GCF of 9585 and 9589?

Answer: GCF of 9585 and 9589 is 1.

2. What are the Factors of 9585?

Answer: Factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585. There are 16 integers that are factors of 9585. The greatest factor of 9585 is 9585.

3. What are the Factors of 9589?

Answer: Factors of 9589 are 1, 43, 223, 9589. There are 4 integers that are factors of 9589. The greatest factor of 9589 is 9589.

4. How to Find the GCF of 9585 and 9589?

Answer:

Greatest Common Factor of 9585 and 9589 = 1

Step 1: Find the prime factorization of 9585

9585 = 3 x 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 9589

9589 = 43 x 223

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 9585 and 9589 is 1