Greatest Common Factor of 9224 and 9225

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 9224, 9225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9224 and 9225 is 1.

GCF(9224,9225) = 1

GCF of 9224 and 9225

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

GCF of:
and

Greatest Common Factor of 9224 and 9225

GCF of 9224 and 9225 is 1

Prime Factorization of 9224


2 9224
2 4612
2 2306
1153 1153
1

Prime factors of 9224 are 2,1153. Prime factorization of 9224 in exponential form is:

9224 = 23×11531

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

∴ So by taking common prime factors GCF of 9224 and 9225 is 1

Greatest Common Factor of 9224 and 9225 by matching factors method

Factors of 9224

List of positive integer factors of 9224 that divides 9224 without a remainder.

1,2,4,8,1153,2306,4612,9224

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

Greatest Common Factor

We found the factors and prime factorization of 9224 and 9225. The biggest common factor number is the GCF number.
So the greatest common factor 9224 and 9225 is 1.

Also check out the Least Common Multiple of 9224 and 9225

Properties of GCF 9224 and 9225

(i) The GCF of 9224 and 9225 is associative

GCF of 9224 and 9225 = GCF of 9225 and 9224

Related Greatest Common Factor of 9224

Related Greatest Common Factor of 9225

Frequently Asked Questions on GCF of 9224 and 9225

1. What is the GCF of 9224 and 9225?

Answer: GCF of 9224 and 9225 is 1.

2. What are the Factors of 9224?

Answer: Factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224. There are 8 integers that are factors of 9224. The greatest factor of 9224 is 9224.

3. 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.

4. How to Find the GCF of 9224 and 9225?

Answer:

Greatest Common Factor of 9224 and 9225 = 1

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

Step 2: Find the prime factorization of 9225

9225 = 3 x 3 x 5 x 5 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9224 and 9225 is 1