Greatest Common Factor of 9216 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 9216, 9224 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9216 and 9224 is 8.

GCF(9216,9224) = 8

GCF of 9216 and 9224

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

GCF of:
and

Greatest Common Factor of 9216 and 9224

GCF of 9216 and 9224 is 8

Prime Factorization of 9216


2 9216
2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 9216 are 2,3. Prime factorization of 9216 in exponential form is:

9216 = 210×32

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 9216 and 9224 is 8

Greatest Common Factor of 9216 and 9224 by matching factors method

Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216

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 9216 and 9224. The biggest common factor number is the GCF number.
So the greatest common factor 9216 and 9224 is 8.

Also check out the Least Common Multiple of 9216 and 9224

Properties of GCF 9216 and 9224

(i) The GCF of 9216 and 9224 is associative

GCF of 9216 and 9224 = GCF of 9224 and 9216

Related Greatest Common Factor of 9216

Related Greatest Common Factor of 9224

Frequently Asked Questions on GCF of 9216 and 9224

1. What is the GCF of 9216 and 9224?

Answer: GCF of 9216 and 9224 is 8.

2. What are the Factors of 9216?

Answer: Factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216. There are 33 integers that are factors of 9216. The greatest factor of 9216 is 9216.

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 9216 and 9224?

Answer:

Greatest Common Factor of 9216 and 9224 = 8

Step 1: Find the prime factorization of 9216

9216 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9216 and 9224 is 8