Greatest Common Factor of 9210 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 9210, 9216 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9210 and 9216 is 6.

GCF(9210,9216) = 6

GCF of 9210 and 9216

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

GCF of:
and

Greatest Common Factor of 9210 and 9216

GCF of 9210 and 9216 is 6

Prime Factorization of 9210


2 9210
3 4605
5 1535
307 307
1

Prime factors of 9210 are 2,3,5,307. Prime factorization of 9210 in exponential form is:

9210 = 21×31×51×3071

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 9210 and 9216 is 6

Greatest Common Factor of 9210 and 9216 by matching factors method

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210

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 9210 and 9216. The biggest common factor number is the GCF number.
So the greatest common factor 9210 and 9216 is 6.

Also check out the Least Common Multiple of 9210 and 9216

Properties of GCF 9210 and 9216

(i) The GCF of 9210 and 9216 is associative

GCF of 9210 and 9216 = GCF of 9216 and 9210

Related Greatest Common Factor of 9210

Related Greatest Common Factor of 9216

Frequently Asked Questions on GCF of 9210 and 9216

1. What is the GCF of 9210 and 9216?

Answer: GCF of 9210 and 9216 is 6.

2. What are the Factors of 9210?

Answer: Factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210. There are 16 integers that are factors of 9210. The greatest factor of 9210 is 9210.

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 9210 and 9216?

Answer:

Greatest Common Factor of 9210 and 9216 = 6

Step 1: Find the prime factorization of 9210

9210 = 2 x 3 x 5 x 307

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 3 = 6

Step 4: Therefore, the greatest common factor of 9210 and 9216 is 6