Greatest Common Factor of 9216 and 9223

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, 9223 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9216 and 9223 is 1.

GCF(9216,9223) = 1

GCF of 9216 and 9223

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

GCF of:
and

Greatest Common Factor of 9216 and 9223

GCF of 9216 and 9223 is 1

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 9223


23 9223
401 401
1

Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:

9223 = 231×4011

∴ So by taking common prime factors GCF of 9216 and 9223 is 1

Greatest Common Factor of 9216 and 9223 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 9223

List of positive integer factors of 9223 that divides 9223 without a remainder.

1,23,401,9223

Greatest Common Factor

We found the factors and prime factorization of 9216 and 9223. The biggest common factor number is the GCF number.
So the greatest common factor 9216 and 9223 is 1.

Also check out the Least Common Multiple of 9216 and 9223

Properties of GCF 9216 and 9223

(i) The GCF of 9216 and 9223 is associative

GCF of 9216 and 9223 = GCF of 9223 and 9216

Related Greatest Common Factor of 9216

Related Greatest Common Factor of 9223

Frequently Asked Questions on GCF of 9216 and 9223

1. What is the GCF of 9216 and 9223?

Answer: GCF of 9216 and 9223 is 1.

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 9223?

Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.

4. How to Find the GCF of 9216 and 9223?

Answer:

Greatest Common Factor of 9216 and 9223 = 1

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 9223

9223 = 23 x 401

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 9216 and 9223 is 1