Greatest Common Factor of 9175 and 9180

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 9175, 9180 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9175 and 9180 is 5.

GCF(9175,9180) = 5

GCF of 9175 and 9180

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

GCF of:
and

Greatest Common Factor of 9175 and 9180

GCF of 9175 and 9180 is 5

Prime Factorization of 9175


5 9175
5 1835
367 367
1

Prime factors of 9175 are 5,367. Prime factorization of 9175 in exponential form is:

9175 = 52×3671

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

∴ So by taking common prime factors GCF of 9175 and 9180 is 5

Greatest Common Factor of 9175 and 9180 by matching factors method

Factors of 9175

List of positive integer factors of 9175 that divides 9175 without a remainder.

1,5,25,367,1835,9175

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

Greatest Common Factor

We found the factors and prime factorization of 9175 and 9180. The biggest common factor number is the GCF number.
So the greatest common factor 9175 and 9180 is 5.

Also check out the Least Common Multiple of 9175 and 9180

Properties of GCF 9175 and 9180

(i) The GCF of 9175 and 9180 is associative

GCF of 9175 and 9180 = GCF of 9180 and 9175

Related Greatest Common Factor of 9175

Related Greatest Common Factor of 9180

Frequently Asked Questions on GCF of 9175 and 9180

1. What is the GCF of 9175 and 9180?

Answer: GCF of 9175 and 9180 is 5.

2. What are the Factors of 9175?

Answer: Factors of 9175 are 1, 5, 25, 367, 1835, 9175. There are 6 integers that are factors of 9175. The greatest factor of 9175 is 9175.

3. 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.

4. How to Find the GCF of 9175 and 9180?

Answer:

Greatest Common Factor of 9175 and 9180 = 5

Step 1: Find the prime factorization of 9175

9175 = 5 x 5 x 367

Step 2: Find the prime factorization of 9180

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

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 9175 and 9180 is 5