Greatest Common Factor of 9264 and 9266

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, 9266 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9264 and 9266 is 2.

GCF(9264,9266) = 2

GCF of 9264 and 9266

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

GCF of:
and

Greatest Common Factor of 9264 and 9266

GCF of 9264 and 9266 is 2

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 9266


2 9266
41 4633
113 113
1

Prime factors of 9266 are 2,41,113. Prime factorization of 9266 in exponential form is:

9266 = 21×411×1131

∴ So by taking common prime factors GCF of 9264 and 9266 is 2

Greatest Common Factor of 9264 and 9266 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 9266

List of positive integer factors of 9266 that divides 9266 without a remainder.

1,2,41,82,113,226,4633,9266

Greatest Common Factor

We found the factors and prime factorization of 9264 and 9266. The biggest common factor number is the GCF number.
So the greatest common factor 9264 and 9266 is 2.

Also check out the Least Common Multiple of 9264 and 9266

Properties of GCF 9264 and 9266

(i) The GCF of 9264 and 9266 is associative

GCF of 9264 and 9266 = GCF of 9266 and 9264

Related Greatest Common Factor of 9264

Related Greatest Common Factor of 9266

Frequently Asked Questions on GCF of 9264 and 9266

1. What is the GCF of 9264 and 9266?

Answer: GCF of 9264 and 9266 is 2.

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 9266?

Answer: Factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266. There are 8 integers that are factors of 9266. The greatest factor of 9266 is 9266.

4. How to Find the GCF of 9264 and 9266?

Answer:

Greatest Common Factor of 9264 and 9266 = 2

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 9266

9266 = 2 x 41 x 113

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9264 and 9266 is 2