Greatest Common Factor of 9264 and 9268

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, 9268 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9264 and 9268 is 4.

GCF(9264,9268) = 4

GCF of 9264 and 9268

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

GCF of:
and

Greatest Common Factor of 9264 and 9268

GCF of 9264 and 9268 is 4

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 9268


2 9268
2 4634
7 2317
331 331
1

Prime factors of 9268 are 2,7,331. Prime factorization of 9268 in exponential form is:

9268 = 22×71×3311

∴ So by taking common prime factors GCF of 9264 and 9268 is 4

Greatest Common Factor of 9264 and 9268 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 9268

List of positive integer factors of 9268 that divides 9268 without a remainder.

1,2,4,7,14,28,331,662,1324,2317,4634,9268

Greatest Common Factor

We found the factors and prime factorization of 9264 and 9268. The biggest common factor number is the GCF number.
So the greatest common factor 9264 and 9268 is 4.

Also check out the Least Common Multiple of 9264 and 9268

Properties of GCF 9264 and 9268

(i) The GCF of 9264 and 9268 is associative

GCF of 9264 and 9268 = GCF of 9268 and 9264

Related Greatest Common Factor of 9264

Related Greatest Common Factor of 9268

Frequently Asked Questions on GCF of 9264 and 9268

1. What is the GCF of 9264 and 9268?

Answer: GCF of 9264 and 9268 is 4.

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 9268?

Answer: Factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268. There are 12 integers that are factors of 9268. The greatest factor of 9268 is 9268.

4. How to Find the GCF of 9264 and 9268?

Answer:

Greatest Common Factor of 9264 and 9268 = 4

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 9268

9268 = 2 x 2 x 7 x 331

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 9264 and 9268 is 4