Greatest Common Factor of 9221 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 9221, 9225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9221 and 9225 is 1.

GCF(9221,9225) = 1

GCF of 9221 and 9225

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

GCF of:
and

Greatest Common Factor of 9221 and 9225

GCF of 9221 and 9225 is 1

Prime Factorization of 9221


9221 9221
1

Prime factors of 9221 are 9221. Prime factorization of 9221 in exponential form is:

9221 = 92211

Prime Factorization of 9225


3 9225
3 3075
5 1025
5 205
41 41
1

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

9225 = 32×52×411

∴ So by taking common prime factors GCF of 9221 and 9225 is 1

Greatest Common Factor of 9221 and 9225 by matching factors method

Factors of 9221

List of positive integer factors of 9221 that divides 9221 without a remainder.

1,9221

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 9221 and 9225. The biggest common factor number is the GCF number.
So the greatest common factor 9221 and 9225 is 1.

Also check out the Least Common Multiple of 9221 and 9225

Properties of GCF 9221 and 9225

(i) The GCF of 9221 and 9225 is associative

GCF of 9221 and 9225 = GCF of 9225 and 9221

Related Greatest Common Factor of 9221

Related Greatest Common Factor of 9225

Frequently Asked Questions on GCF of 9221 and 9225

1. What is the GCF of 9221 and 9225?

Answer: GCF of 9221 and 9225 is 1.

2. What are the Factors of 9221?

Answer: Factors of 9221 are 1, 9221. There are 2 integers that are factors of 9221. The greatest factor of 9221 is 9221.

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 9221 and 9225?

Answer:

Greatest Common Factor of 9221 and 9225 = 1

Step 1: Find the prime factorization of 9221

9221 = 9221

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 9221 and 9225 is 1