Greatest Common Factor of 9331 and 9338

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 9331, 9338 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9331 and 9338 is 7.

GCF(9331,9338) = 7

GCF of 9331 and 9338

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

GCF of:
and

Greatest Common Factor of 9331 and 9338

GCF of 9331 and 9338 is 7

Prime Factorization of 9331


7 9331
31 1333
43 43
1

Prime factors of 9331 are 7,31,43. Prime factorization of 9331 in exponential form is:

9331 = 71×311×431

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

∴ So by taking common prime factors GCF of 9331 and 9338 is 7

Greatest Common Factor of 9331 and 9338 by matching factors method

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1,7,31,43,217,301,1333,9331

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

Greatest Common Factor

We found the factors and prime factorization of 9331 and 9338. The biggest common factor number is the GCF number.
So the greatest common factor 9331 and 9338 is 7.

Also check out the Least Common Multiple of 9331 and 9338

Properties of GCF 9331 and 9338

(i) The GCF of 9331 and 9338 is associative

GCF of 9331 and 9338 = GCF of 9338 and 9331

Related Greatest Common Factor of 9331

Related Greatest Common Factor of 9338

Frequently Asked Questions on GCF of 9331 and 9338

1. What is the GCF of 9331 and 9338?

Answer: GCF of 9331 and 9338 is 7.

2. What are the Factors of 9331?

Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.

3. 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.

4. How to Find the GCF of 9331 and 9338?

Answer:

Greatest Common Factor of 9331 and 9338 = 7

Step 1: Find the prime factorization of 9331

9331 = 7 x 31 x 43

Step 2: Find the prime factorization of 9338

9338 = 2 x 7 x 23 x 29

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 9331 and 9338 is 7