Greatest Common Factor of 9334 and 9342

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 9334, 9342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9334 and 9342 is 2.

GCF(9334,9342) = 2

GCF of 9334 and 9342

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

GCF of:
and

Greatest Common Factor of 9334 and 9342

GCF of 9334 and 9342 is 2

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

Prime Factorization of 9342


2 9342
3 4671
3 1557
3 519
173 173
1

Prime factors of 9342 are 2,3,173. Prime factorization of 9342 in exponential form is:

9342 = 21×33×1731

∴ So by taking common prime factors GCF of 9334 and 9342 is 2

Greatest Common Factor of 9334 and 9342 by matching factors method

Factors of 9334

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

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

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Greatest Common Factor

We found the factors and prime factorization of 9334 and 9342. The biggest common factor number is the GCF number.
So the greatest common factor 9334 and 9342 is 2.

Also check out the Least Common Multiple of 9334 and 9342

Properties of GCF 9334 and 9342

(i) The GCF of 9334 and 9342 is associative

GCF of 9334 and 9342 = GCF of 9342 and 9334

Related Greatest Common Factor of 9334

Related Greatest Common Factor of 9342

Frequently Asked Questions on GCF of 9334 and 9342

1. What is the GCF of 9334 and 9342?

Answer: GCF of 9334 and 9342 is 2.

2. 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.

3. What are the Factors of 9342?

Answer: Factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342. There are 16 integers that are factors of 9342. The greatest factor of 9342 is 9342.

4. How to Find the GCF of 9334 and 9342?

Answer:

Greatest Common Factor of 9334 and 9342 = 2

Step 1: Find the prime factorization of 9334

9334 = 2 x 13 x 359

Step 2: Find the prime factorization of 9342

9342 = 2 x 3 x 3 x 3 x 173

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 9334 and 9342 is 2