Greatest Common Factor of 9180 and 9182

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, 9182 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9180 and 9182 is 2.

GCF(9180,9182) = 2

GCF of 9180 and 9182

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

GCF of:
and

Greatest Common Factor of 9180 and 9182

GCF of 9180 and 9182 is 2

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 9182


2 9182
4591 4591
1

Prime factors of 9182 are 2,4591. Prime factorization of 9182 in exponential form is:

9182 = 21×45911

∴ So by taking common prime factors GCF of 9180 and 9182 is 2

Greatest Common Factor of 9180 and 9182 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 9182

List of positive integer factors of 9182 that divides 9182 without a remainder.

1,2,4591,9182

Greatest Common Factor

We found the factors and prime factorization of 9180 and 9182. The biggest common factor number is the GCF number.
So the greatest common factor 9180 and 9182 is 2.

Also check out the Least Common Multiple of 9180 and 9182

Properties of GCF 9180 and 9182

(i) The GCF of 9180 and 9182 is associative

GCF of 9180 and 9182 = GCF of 9182 and 9180

Related Greatest Common Factor of 9180

Related Greatest Common Factor of 9182

Frequently Asked Questions on GCF of 9180 and 9182

1. What is the GCF of 9180 and 9182?

Answer: GCF of 9180 and 9182 is 2.

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 9182?

Answer: Factors of 9182 are 1, 2, 4591, 9182. There are 4 integers that are factors of 9182. The greatest factor of 9182 is 9182.

4. How to Find the GCF of 9180 and 9182?

Answer:

Greatest Common Factor of 9180 and 9182 = 2

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 9182

9182 = 2 x 4591

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9180 and 9182 is 2