Greatest Common Factor of 9338 and 9341

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, 9341 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9338 and 9341 is 1.

GCF(9338,9341) = 1

GCF of 9338 and 9341

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

GCF of:
and

Greatest Common Factor of 9338 and 9341

GCF of 9338 and 9341 is 1

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 9341


9341 9341
1

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

∴ So by taking common prime factors GCF of 9338 and 9341 is 1

Greatest Common Factor of 9338 and 9341 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 9341

List of positive integer factors of 9341 that divides 9341 without a remainder.

1,9341

Greatest Common Factor

We found the factors and prime factorization of 9338 and 9341. The biggest common factor number is the GCF number.
So the greatest common factor 9338 and 9341 is 1.

Also check out the Least Common Multiple of 9338 and 9341

Properties of GCF 9338 and 9341

(i) The GCF of 9338 and 9341 is associative

GCF of 9338 and 9341 = GCF of 9341 and 9338

Related Greatest Common Factor of 9338

Related Greatest Common Factor of 9341

Frequently Asked Questions on GCF of 9338 and 9341

1. What is the GCF of 9338 and 9341?

Answer: GCF of 9338 and 9341 is 1.

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 9341?

Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.

4. How to Find the GCF of 9338 and 9341?

Answer:

Greatest Common Factor of 9338 and 9341 = 1

Step 1: Find the prime factorization of 9338

9338 = 2 x 7 x 23 x 29

Step 2: Find the prime factorization of 9341

9341 = 9341

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9338 and 9341 is 1