Greatest Common Factor of 9225 and 9228

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, 9228 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9225 and 9228 is 3.

GCF(9225,9228) = 3

GCF of 9225 and 9228

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

GCF of:
and

Greatest Common Factor of 9225 and 9228

GCF of 9225 and 9228 is 3

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 9228


2 9228
2 4614
3 2307
769 769
1

Prime factors of 9228 are 2,3,769. Prime factorization of 9228 in exponential form is:

9228 = 22×31×7691

∴ So by taking common prime factors GCF of 9225 and 9228 is 3

Greatest Common Factor of 9225 and 9228 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 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Greatest Common Factor

We found the factors and prime factorization of 9225 and 9228. The biggest common factor number is the GCF number.
So the greatest common factor 9225 and 9228 is 3.

Also check out the Least Common Multiple of 9225 and 9228

Properties of GCF 9225 and 9228

(i) The GCF of 9225 and 9228 is associative

GCF of 9225 and 9228 = GCF of 9228 and 9225

Related Greatest Common Factor of 9225

Related Greatest Common Factor of 9228

Frequently Asked Questions on GCF of 9225 and 9228

1. What is the GCF of 9225 and 9228?

Answer: GCF of 9225 and 9228 is 3.

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 9228?

Answer: Factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228. There are 12 integers that are factors of 9228. The greatest factor of 9228 is 9228.

4. How to Find the GCF of 9225 and 9228?

Answer:

Greatest Common Factor of 9225 and 9228 = 3

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 9228

9228 = 2 x 2 x 3 x 769

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9225 and 9228 is 3