Greatest Common Factor of 9261 and 9264

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 9261, 9264 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9261 and 9264 is 3.

GCF(9261,9264) = 3

GCF of 9261 and 9264

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

GCF of:
and

Greatest Common Factor of 9261 and 9264

GCF of 9261 and 9264 is 3

Prime Factorization of 9261


3 9261
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:

9261 = 33×73

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

∴ So by taking common prime factors GCF of 9261 and 9264 is 3

Greatest Common Factor of 9261 and 9264 by matching factors method

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

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

Greatest Common Factor

We found the factors and prime factorization of 9261 and 9264. The biggest common factor number is the GCF number.
So the greatest common factor 9261 and 9264 is 3.

Also check out the Least Common Multiple of 9261 and 9264

Properties of GCF 9261 and 9264

(i) The GCF of 9261 and 9264 is associative

GCF of 9261 and 9264 = GCF of 9264 and 9261

Related Greatest Common Factor of 9261

Related Greatest Common Factor of 9264

Frequently Asked Questions on GCF of 9261 and 9264

1. What is the GCF of 9261 and 9264?

Answer: GCF of 9261 and 9264 is 3.

2. What are the Factors of 9261?

Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.

3. 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.

4. How to Find the GCF of 9261 and 9264?

Answer:

Greatest Common Factor of 9261 and 9264 = 3

Step 1: Find the prime factorization of 9261

9261 = 3 x 3 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 9264

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

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 9261 and 9264 is 3