Greatest Common Factor of 9180 and 9184

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, 9184 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9180 and 9184 is 4.

GCF(9180,9184) = 4

GCF of 9180 and 9184

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

GCF of:
and

Greatest Common Factor of 9180 and 9184

GCF of 9180 and 9184 is 4

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 9184


2 9184
2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 9184 are 2,7,41. Prime factorization of 9184 in exponential form is:

9184 = 25×71×411

∴ So by taking common prime factors GCF of 9180 and 9184 is 4

Greatest Common Factor of 9180 and 9184 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 9184

List of positive integer factors of 9184 that divides 9184 without a remainder.

1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184

Greatest Common Factor

We found the factors and prime factorization of 9180 and 9184. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9184 is 4.

Also check out the Least Common Multiple of 9180 and 9184

Properties of GCF 9180 and 9184

(i) The GCF of 9180 and 9184 is associative

GCF of 9180 and 9184 = GCF of 9184 and 9180

Related Greatest Common Factor of 9180

Related Greatest Common Factor of 9184

Frequently Asked Questions on GCF of 9180 and 9184

1. What is the GCF of 9180 and 9184?

Answer: GCF of 9180 and 9184 is 4.

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 9184?

Answer: Factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184. There are 24 integers that are factors of 9184. The greatest factor of 9184 is 9184.

4. How to Find the GCF of 9180 and 9184?

Answer:

Greatest Common Factor of 9180 and 9184 = 4

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 9184

9184 = 2 x 2 x 2 x 2 x 2 x 7 x 41

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9180 and 9184 is 4