Greatest Common Factor of 9219 and 9224

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 9219, 9224 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9219 and 9224 is 1.

GCF(9219,9224) = 1

GCF of 9219 and 9224

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

GCF of:
and

Greatest Common Factor of 9219 and 9224

GCF of 9219 and 9224 is 1

Prime Factorization of 9219


3 9219
7 3073
439 439
1

Prime factors of 9219 are 3,7,439. Prime factorization of 9219 in exponential form is:

9219 = 31×71×4391

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

∴ So by taking common prime factors GCF of 9219 and 9224 is 1

Greatest Common Factor of 9219 and 9224 by matching factors method

Factors of 9219

List of positive integer factors of 9219 that divides 9219 without a remainder.

1,3,7,21,439,1317,3073,9219

Factors of 9224

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

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

Greatest Common Factor

We found the factors and prime factorization of 9219 and 9224. The biggest common factor number is the GCF number.
So the greatest common factor 9219 and 9224 is 1.

Also check out the Least Common Multiple of 9219 and 9224

Properties of GCF 9219 and 9224

(i) The GCF of 9219 and 9224 is associative

GCF of 9219 and 9224 = GCF of 9224 and 9219

Related Greatest Common Factor of 9219

Related Greatest Common Factor of 9224

Frequently Asked Questions on GCF of 9219 and 9224

1. What is the GCF of 9219 and 9224?

Answer: GCF of 9219 and 9224 is 1.

2. What are the Factors of 9219?

Answer: Factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219. There are 8 integers that are factors of 9219. The greatest factor of 9219 is 9219.

3. 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.

4. How to Find the GCF of 9219 and 9224?

Answer:

Greatest Common Factor of 9219 and 9224 = 1

Step 1: Find the prime factorization of 9219

9219 = 3 x 7 x 439

Step 2: Find the prime factorization of 9224

9224 = 2 x 2 x 2 x 1153

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 9219 and 9224 is 1