Greatest Common Factor of 9208 and 9216

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 9208, 9216 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9208 and 9216 is 8.

GCF(9208,9216) = 8

GCF of 9208 and 9216

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

GCF of:
and

Greatest Common Factor of 9208 and 9216

GCF of 9208 and 9216 is 8

Prime Factorization of 9208


2 9208
2 4604
2 2302
1151 1151
1

Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:

9208 = 23×11511

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

∴ So by taking common prime factors GCF of 9208 and 9216 is 8

Greatest Common Factor of 9208 and 9216 by matching factors method

Factors of 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1,2,4,8,1151,2302,4604,9208

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

Greatest Common Factor

We found the factors and prime factorization of 9208 and 9216. The biggest common factor number is the GCF number.
So the greatest common factor 9208 and 9216 is 8.

Also check out the Least Common Multiple of 9208 and 9216

Properties of GCF 9208 and 9216

(i) The GCF of 9208 and 9216 is associative

GCF of 9208 and 9216 = GCF of 9216 and 9208

Related Greatest Common Factor of 9208

Related Greatest Common Factor of 9216

Frequently Asked Questions on GCF of 9208 and 9216

1. What is the GCF of 9208 and 9216?

Answer: GCF of 9208 and 9216 is 8.

2. What are the Factors of 9208?

Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.

3. 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.

4. How to Find the GCF of 9208 and 9216?

Answer:

Greatest Common Factor of 9208 and 9216 = 8

Step 1: Find the prime factorization of 9208

9208 = 2 x 2 x 2 x 1151

Step 2: 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 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 9208 and 9216 is 8