Greatest Common Factor of 9280 and 9284

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 9280, 9284 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9280 and 9284 is 4.

GCF(9280,9284) = 4

GCF of 9280 and 9284

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

GCF of:
and

Greatest Common Factor of 9280 and 9284

GCF of 9280 and 9284 is 4

Prime Factorization of 9280


2 9280
2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 9280 are 2,5,29. Prime factorization of 9280 in exponential form is:

9280 = 26×51×291

Prime Factorization of 9284


2 9284
2 4642
11 2321
211 211
1

Prime factors of 9284 are 2,11,211. Prime factorization of 9284 in exponential form is:

9284 = 22×111×2111

∴ So by taking common prime factors GCF of 9280 and 9284 is 4

Greatest Common Factor of 9280 and 9284 by matching factors method

Factors of 9280

List of positive integer factors of 9280 that divides 9280 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Greatest Common Factor

We found the factors and prime factorization of 9280 and 9284. The biggest common factor number is the GCF number.
So the greatest common factor 9280 and 9284 is 4.

Also check out the Least Common Multiple of 9280 and 9284

Properties of GCF 9280 and 9284

(i) The GCF of 9280 and 9284 is associative

GCF of 9280 and 9284 = GCF of 9284 and 9280

Related Greatest Common Factor of 9280

Related Greatest Common Factor of 9284

Frequently Asked Questions on GCF of 9280 and 9284

1. What is the GCF of 9280 and 9284?

Answer: GCF of 9280 and 9284 is 4.

2. What are the Factors of 9280?

Answer: Factors of 9280 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280. There are 28 integers that are factors of 9280. The greatest factor of 9280 is 9280.

3. What are the Factors of 9284?

Answer: Factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284. There are 12 integers that are factors of 9284. The greatest factor of 9284 is 9284.

4. How to Find the GCF of 9280 and 9284?

Answer:

Greatest Common Factor of 9280 and 9284 = 4

Step 1: Find the prime factorization of 9280

9280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 9284

9284 = 2 x 2 x 11 x 211

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 9280 and 9284 is 4