Greatest Common Factor of 9579 and 9585

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 9579, 9585 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9579 and 9585 is 3.

GCF(9579,9585) = 3

GCF of 9579 and 9585

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

GCF of:
and

Greatest Common Factor of 9579 and 9585

GCF of 9579 and 9585 is 3

Prime Factorization of 9579


3 9579
31 3193
103 103
1

Prime factors of 9579 are 3,31,103. Prime factorization of 9579 in exponential form is:

9579 = 31×311×1031

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

∴ So by taking common prime factors GCF of 9579 and 9585 is 3

Greatest Common Factor of 9579 and 9585 by matching factors method

Factors of 9579

List of positive integer factors of 9579 that divides 9579 without a remainder.

1,3,31,93,103,309,3193,9579

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

Greatest Common Factor

We found the factors and prime factorization of 9579 and 9585. The biggest common factor number is the GCF number.
So the greatest common factor 9579 and 9585 is 3.

Also check out the Least Common Multiple of 9579 and 9585

Properties of GCF 9579 and 9585

(i) The GCF of 9579 and 9585 is associative

GCF of 9579 and 9585 = GCF of 9585 and 9579

Related Greatest Common Factor of 9579

Related Greatest Common Factor of 9585

Frequently Asked Questions on GCF of 9579 and 9585

1. What is the GCF of 9579 and 9585?

Answer: GCF of 9579 and 9585 is 3.

2. What are the Factors of 9579?

Answer: Factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579. There are 8 integers that are factors of 9579. The greatest factor of 9579 is 9579.

3. 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.

4. How to Find the GCF of 9579 and 9585?

Answer:

Greatest Common Factor of 9579 and 9585 = 3

Step 1: Find the prime factorization of 9579

9579 = 3 x 31 x 103

Step 2: Find the prime factorization of 9585

9585 = 3 x 3 x 3 x 5 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9579 and 9585 is 3