Greatest Common Factor of 9225 and 9230

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 9225, 9230 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9225 and 9230 is 5.

GCF(9225,9230) = 5

GCF of 9225 and 9230

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

GCF of:
and

Greatest Common Factor of 9225 and 9230

GCF of 9225 and 9230 is 5

Prime Factorization of 9225


3 9225
3 3075
5 1025
5 205
41 41
1

Prime factors of 9225 are 3,5,41. Prime factorization of 9225 in exponential form is:

9225 = 32×52×411

Prime Factorization of 9230


2 9230
5 4615
13 923
71 71
1

Prime factors of 9230 are 2,5,13,71. Prime factorization of 9230 in exponential form is:

9230 = 21×51×131×711

∴ So by taking common prime factors GCF of 9225 and 9230 is 5

Greatest Common Factor of 9225 and 9230 by matching factors method

Factors of 9225

List of positive integer factors of 9225 that divides 9225 without a remainder.

1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225

Factors of 9230

List of positive integer factors of 9230 that divides 9230 without a remainder.

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Greatest Common Factor

We found the factors and prime factorization of 9225 and 9230. The biggest common factor number is the GCF number.
So the greatest common factor 9225 and 9230 is 5.

Also check out the Least Common Multiple of 9225 and 9230

Properties of GCF 9225 and 9230

(i) The GCF of 9225 and 9230 is associative

GCF of 9225 and 9230 = GCF of 9230 and 9225

Related Greatest Common Factor of 9225

Related Greatest Common Factor of 9230

Frequently Asked Questions on GCF of 9225 and 9230

1. What is the GCF of 9225 and 9230?

Answer: GCF of 9225 and 9230 is 5.

2. What are the Factors of 9225?

Answer: Factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225. There are 18 integers that are factors of 9225. The greatest factor of 9225 is 9225.

3. What are the Factors of 9230?

Answer: Factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230. There are 16 integers that are factors of 9230. The greatest factor of 9230 is 9230.

4. How to Find the GCF of 9225 and 9230?

Answer:

Greatest Common Factor of 9225 and 9230 = 5

Step 1: Find the prime factorization of 9225

9225 = 3 x 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 9230

9230 = 2 x 5 x 13 x 71

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 9225 and 9230 is 5