Greatest Common Factor of 9264 and 9267

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 9264, 9267 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9264 and 9267 is 3.

GCF(9264,9267) = 3

GCF of 9264 and 9267

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

GCF of:
and

Greatest Common Factor of 9264 and 9267

GCF of 9264 and 9267 is 3

Prime Factorization of 9264


2 9264
2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 9264 are 2,3,193. Prime factorization of 9264 in exponential form is:

9264 = 24×31×1931

Prime Factorization of 9267


3 9267
3089 3089
1

Prime factors of 9267 are 3,3089. Prime factorization of 9267 in exponential form is:

9267 = 31×30891

∴ So by taking common prime factors GCF of 9264 and 9267 is 3

Greatest Common Factor of 9264 and 9267 by matching factors method

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Factors of 9267

List of positive integer factors of 9267 that divides 9267 without a remainder.

1,3,3089,9267

Greatest Common Factor

We found the factors and prime factorization of 9264 and 9267. The biggest common factor number is the GCF number.
So the greatest common factor 9264 and 9267 is 3.

Also check out the Least Common Multiple of 9264 and 9267

Properties of GCF 9264 and 9267

(i) The GCF of 9264 and 9267 is associative

GCF of 9264 and 9267 = GCF of 9267 and 9264

Related Greatest Common Factor of 9264

Related Greatest Common Factor of 9267

Frequently Asked Questions on GCF of 9264 and 9267

1. What is the GCF of 9264 and 9267?

Answer: GCF of 9264 and 9267 is 3.

2. What are the Factors of 9264?

Answer: Factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264. There are 20 integers that are factors of 9264. The greatest factor of 9264 is 9264.

3. What are the Factors of 9267?

Answer: Factors of 9267 are 1, 3, 3089, 9267. There are 4 integers that are factors of 9267. The greatest factor of 9267 is 9267.

4. How to Find the GCF of 9264 and 9267?

Answer:

Greatest Common Factor of 9264 and 9267 = 3

Step 1: Find the prime factorization of 9264

9264 = 2 x 2 x 2 x 2 x 3 x 193

Step 2: Find the prime factorization of 9267

9267 = 3 x 3089

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9264 and 9267 is 3