Greatest Common Factor of 9180 and 9183

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 9180, 9183 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9180 and 9183 is 3.

GCF(9180,9183) = 3

GCF of 9180 and 9183

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

GCF of:
and

Greatest Common Factor of 9180 and 9183

GCF of 9180 and 9183 is 3

Prime Factorization of 9180


2 9180
2 4590
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 9180 are 2,3,5,17. Prime factorization of 9180 in exponential form is:

9180 = 22×33×51×171

Prime Factorization of 9183


3 9183
3061 3061
1

Prime factors of 9183 are 3,3061. Prime factorization of 9183 in exponential form is:

9183 = 31×30611

∴ So by taking common prime factors GCF of 9180 and 9183 is 3

Greatest Common Factor of 9180 and 9183 by matching factors method

Factors of 9180

List of positive integer factors of 9180 that divides 9180 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180

Factors of 9183

List of positive integer factors of 9183 that divides 9183 without a remainder.

1,3,3061,9183

Greatest Common Factor

We found the factors and prime factorization of 9180 and 9183. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9183 is 3.

Also check out the Least Common Multiple of 9180 and 9183

Properties of GCF 9180 and 9183

(i) The GCF of 9180 and 9183 is associative

GCF of 9180 and 9183 = GCF of 9183 and 9180

Related Greatest Common Factor of 9180

Related Greatest Common Factor of 9183

Frequently Asked Questions on GCF of 9180 and 9183

1. What is the GCF of 9180 and 9183?

Answer: GCF of 9180 and 9183 is 3.

2. What are the Factors of 9180?

Answer: Factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180. There are 48 integers that are factors of 9180. The greatest factor of 9180 is 9180.

3. What are the Factors of 9183?

Answer: Factors of 9183 are 1, 3, 3061, 9183. There are 4 integers that are factors of 9183. The greatest factor of 9183 is 9183.

4. How to Find the GCF of 9180 and 9183?

Answer:

Greatest Common Factor of 9180 and 9183 = 3

Step 1: Find the prime factorization of 9180

9180 = 2 x 2 x 3 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 9183

9183 = 3 x 3061

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 9180 and 9183 is 3