Greatest Common Factor of 9338 and 9345

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 9338, 9345 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9338 and 9345 is 7.

GCF(9338,9345) = 7

GCF of 9338 and 9345

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

GCF of:
and

Greatest Common Factor of 9338 and 9345

GCF of 9338 and 9345 is 7

Prime Factorization of 9338


2 9338
7 4669
23 667
29 29
1

Prime factors of 9338 are 2,7,23,29. Prime factorization of 9338 in exponential form is:

9338 = 21×71×231×291

Prime Factorization of 9345


3 9345
5 3115
7 623
89 89
1

Prime factors of 9345 are 3,5,7,89. Prime factorization of 9345 in exponential form is:

9345 = 31×51×71×891

∴ So by taking common prime factors GCF of 9338 and 9345 is 7

Greatest Common Factor of 9338 and 9345 by matching factors method

Factors of 9338

List of positive integer factors of 9338 that divides 9338 without a remainder.

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345

Greatest Common Factor

We found the factors and prime factorization of 9338 and 9345. The biggest common factor number is the GCF number.
So the greatest common factor 9338 and 9345 is 7.

Also check out the Least Common Multiple of 9338 and 9345

Properties of GCF 9338 and 9345

(i) The GCF of 9338 and 9345 is associative

GCF of 9338 and 9345 = GCF of 9345 and 9338

Related Greatest Common Factor of 9338

Related Greatest Common Factor of 9345

Frequently Asked Questions on GCF of 9338 and 9345

1. What is the GCF of 9338 and 9345?

Answer: GCF of 9338 and 9345 is 7.

2. What are the Factors of 9338?

Answer: Factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338. There are 16 integers that are factors of 9338. The greatest factor of 9338 is 9338.

3. What are the Factors of 9345?

Answer: Factors of 9345 are 1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345. There are 16 integers that are factors of 9345. The greatest factor of 9345 is 9345.

4. How to Find the GCF of 9338 and 9345?

Answer:

Greatest Common Factor of 9338 and 9345 = 7

Step 1: Find the prime factorization of 9338

9338 = 2 x 7 x 23 x 29

Step 2: Find the prime factorization of 9345

9345 = 3 x 5 x 7 x 89

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9338 and 9345 is 7