Greatest Common Factor of 9332 and 9334

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 9332, 9334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9332 and 9334 is 2.

GCF(9332,9334) = 2

GCF of 9332 and 9334

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

GCF of:
and

Greatest Common Factor of 9332 and 9334

GCF of 9332 and 9334 is 2

Prime Factorization of 9332


2 9332
2 4666
2333 2333
1

Prime factors of 9332 are 2,2333. Prime factorization of 9332 in exponential form is:

9332 = 22×23331

Prime Factorization of 9334


2 9334
13 4667
359 359
1

Prime factors of 9334 are 2,13,359. Prime factorization of 9334 in exponential form is:

9334 = 21×131×3591

∴ So by taking common prime factors GCF of 9332 and 9334 is 2

Greatest Common Factor of 9332 and 9334 by matching factors method

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1,2,4,2333,4666,9332

Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1,2,13,26,359,718,4667,9334

Greatest Common Factor

We found the factors and prime factorization of 9332 and 9334. The biggest common factor number is the GCF number.
So the greatest common factor 9332 and 9334 is 2.

Also check out the Least Common Multiple of 9332 and 9334

Properties of GCF 9332 and 9334

(i) The GCF of 9332 and 9334 is associative

GCF of 9332 and 9334 = GCF of 9334 and 9332

Related Greatest Common Factor of 9332

Related Greatest Common Factor of 9334

Frequently Asked Questions on GCF of 9332 and 9334

1. What is the GCF of 9332 and 9334?

Answer: GCF of 9332 and 9334 is 2.

2. What are the Factors of 9332?

Answer: Factors of 9332 are 1, 2, 4, 2333, 4666, 9332. There are 6 integers that are factors of 9332. The greatest factor of 9332 is 9332.

3. What are the Factors of 9334?

Answer: Factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334. There are 8 integers that are factors of 9334. The greatest factor of 9334 is 9334.

4. How to Find the GCF of 9332 and 9334?

Answer:

Greatest Common Factor of 9332 and 9334 = 2

Step 1: Find the prime factorization of 9332

9332 = 2 x 2 x 2333

Step 2: Find the prime factorization of 9334

9334 = 2 x 13 x 359

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 9332 and 9334 is 2