Greatest Common Factor of 9585 and 9590

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, 9590 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9585 and 9590 is 5.

GCF(9585,9590) = 5

GCF of 9585 and 9590

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

GCF of:
and

Greatest Common Factor of 9585 and 9590

GCF of 9585 and 9590 is 5

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 9590


2 9590
5 4795
7 959
137 137
1

Prime factors of 9590 are 2,5,7,137. Prime factorization of 9590 in exponential form is:

9590 = 21×51×71×1371

∴ So by taking common prime factors GCF of 9585 and 9590 is 5

Greatest Common Factor of 9585 and 9590 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 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590

Greatest Common Factor

We found the factors and prime factorization of 9585 and 9590. The biggest common factor number is the GCF number.
So the greatest common factor 9585 and 9590 is 5.

Also check out the Least Common Multiple of 9585 and 9590

Properties of GCF 9585 and 9590

(i) The GCF of 9585 and 9590 is associative

GCF of 9585 and 9590 = GCF of 9590 and 9585

Related Greatest Common Factor of 9585

Related Greatest Common Factor of 9590

Frequently Asked Questions on GCF of 9585 and 9590

1. What is the GCF of 9585 and 9590?

Answer: GCF of 9585 and 9590 is 5.

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 9590?

Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.

4. How to Find the GCF of 9585 and 9590?

Answer:

Greatest Common Factor of 9585 and 9590 = 5

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 9590

9590 = 2 x 5 x 7 x 137

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 9585 and 9590 is 5