Greatest Common Factor of 9224 and 9231

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, 9231 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9224 and 9231 is 1.

GCF(9224,9231) = 1

GCF of 9224 and 9231

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

GCF of:
and

Greatest Common Factor of 9224 and 9231

GCF of 9224 and 9231 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 9231


3 9231
17 3077
181 181
1

Prime factors of 9231 are 3,17,181. Prime factorization of 9231 in exponential form is:

9231 = 31×171×1811

∴ So by taking common prime factors GCF of 9224 and 9231 is 1

Greatest Common Factor of 9224 and 9231 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 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1,3,17,51,181,543,3077,9231

Greatest Common Factor

We found the factors and prime factorization of 9224 and 9231. The biggest common factor number is the GCF number.
So the greatest common factor 9224 and 9231 is 1.

Also check out the Least Common Multiple of 9224 and 9231

Properties of GCF 9224 and 9231

(i) The GCF of 9224 and 9231 is associative

GCF of 9224 and 9231 = GCF of 9231 and 9224

Related Greatest Common Factor of 9224

Related Greatest Common Factor of 9231

Frequently Asked Questions on GCF of 9224 and 9231

1. What is the GCF of 9224 and 9231?

Answer: GCF of 9224 and 9231 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 9231?

Answer: Factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231. There are 8 integers that are factors of 9231. The greatest factor of 9231 is 9231.

4. How to Find the GCF of 9224 and 9231?

Answer:

Greatest Common Factor of 9224 and 9231 = 1

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

Step 2: Find the prime factorization of 9231

9231 = 3 x 17 x 181

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 9231 is 1