Greatest Common Factor of 9224 and 9229

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, 9229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9224 and 9229 is 1.

GCF(9224,9229) = 1

GCF of 9224 and 9229

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

GCF of:
and

Greatest Common Factor of 9224 and 9229

GCF of 9224 and 9229 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 9229


11 9229
839 839
1

Prime factors of 9229 are 11,839. Prime factorization of 9229 in exponential form is:

9229 = 111×8391

∴ So by taking common prime factors GCF of 9224 and 9229 is 1

Greatest Common Factor of 9224 and 9229 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 9229

List of positive integer factors of 9229 that divides 9229 without a remainder.

1,11,839,9229

Greatest Common Factor

We found the factors and prime factorization of 9224 and 9229. The biggest common factor number is the GCF number.
So the greatest common factor 9224 and 9229 is 1.

Also check out the Least Common Multiple of 9224 and 9229

Properties of GCF 9224 and 9229

(i) The GCF of 9224 and 9229 is associative

GCF of 9224 and 9229 = GCF of 9229 and 9224

Related Greatest Common Factor of 9224

Related Greatest Common Factor of 9229

Frequently Asked Questions on GCF of 9224 and 9229

1. What is the GCF of 9224 and 9229?

Answer: GCF of 9224 and 9229 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 9229?

Answer: Factors of 9229 are 1, 11, 839, 9229. There are 4 integers that are factors of 9229. The greatest factor of 9229 is 9229.

4. How to Find the GCF of 9224 and 9229?

Answer:

Greatest Common Factor of 9224 and 9229 = 1

Step 1: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

Step 2: Find the prime factorization of 9229

9229 = 11 x 839

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 9229 is 1