Greatest Common Factor of 9180 and 9186

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, 9186 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9180 and 9186 is 6.

GCF(9180,9186) = 6

GCF of 9180 and 9186

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

GCF of:
and

Greatest Common Factor of 9180 and 9186

GCF of 9180 and 9186 is 6

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 9186


2 9186
3 4593
1531 1531
1

Prime factors of 9186 are 2,3,1531. Prime factorization of 9186 in exponential form is:

9186 = 21×31×15311

∴ So by taking common prime factors GCF of 9180 and 9186 is 6

Greatest Common Factor of 9180 and 9186 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 9186

List of positive integer factors of 9186 that divides 9186 without a remainder.

1,2,3,6,1531,3062,4593,9186

Greatest Common Factor

We found the factors and prime factorization of 9180 and 9186. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9186 is 6.

Also check out the Least Common Multiple of 9180 and 9186

Properties of GCF 9180 and 9186

(i) The GCF of 9180 and 9186 is associative

GCF of 9180 and 9186 = GCF of 9186 and 9180

Related Greatest Common Factor of 9180

Related Greatest Common Factor of 9186

Frequently Asked Questions on GCF of 9180 and 9186

1. What is the GCF of 9180 and 9186?

Answer: GCF of 9180 and 9186 is 6.

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 9186?

Answer: Factors of 9186 are 1, 2, 3, 6, 1531, 3062, 4593, 9186. There are 8 integers that are factors of 9186. The greatest factor of 9186 is 9186.

4. How to Find the GCF of 9180 and 9186?

Answer:

Greatest Common Factor of 9180 and 9186 = 6

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 9186

9186 = 2 x 3 x 1531

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9180 and 9186 is 6