Greatest Common Factor of 9216 and 9220

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, 9220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9216 and 9220 is 4.

GCF(9216,9220) = 4

GCF of 9216 and 9220

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

GCF of:
and

Greatest Common Factor of 9216 and 9220

GCF of 9216 and 9220 is 4

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 9220


2 9220
2 4610
5 2305
461 461
1

Prime factors of 9220 are 2,5,461. Prime factorization of 9220 in exponential form is:

9220 = 22×51×4611

∴ So by taking common prime factors GCF of 9216 and 9220 is 4

Greatest Common Factor of 9216 and 9220 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 9220

List of positive integer factors of 9220 that divides 9220 without a remainder.

1,2,4,5,10,20,461,922,1844,2305,4610,9220

Greatest Common Factor

We found the factors and prime factorization of 9216 and 9220. The biggest common factor number is the GCF number.
So the greatest common factor 9216 and 9220 is 4.

Also check out the Least Common Multiple of 9216 and 9220

Properties of GCF 9216 and 9220

(i) The GCF of 9216 and 9220 is associative

GCF of 9216 and 9220 = GCF of 9220 and 9216

Related Greatest Common Factor of 9216

Related Greatest Common Factor of 9220

Frequently Asked Questions on GCF of 9216 and 9220

1. What is the GCF of 9216 and 9220?

Answer: GCF of 9216 and 9220 is 4.

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 9220?

Answer: Factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220. There are 12 integers that are factors of 9220. The greatest factor of 9220 is 9220.

4. How to Find the GCF of 9216 and 9220?

Answer:

Greatest Common Factor of 9216 and 9220 = 4

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 9220

9220 = 2 x 2 x 5 x 461

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9216 and 9220 is 4