Greatest Common Factor of 9359 and 9363

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 9359, 9363 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9359 and 9363 is 1.

GCF(9359,9363) = 1

GCF of 9359 and 9363

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

GCF of:
and

Greatest Common Factor of 9359 and 9363

GCF of 9359 and 9363 is 1

Prime Factorization of 9359


7 9359
7 1337
191 191
1

Prime factors of 9359 are 7,191. Prime factorization of 9359 in exponential form is:

9359 = 72×1911

Prime Factorization of 9363


3 9363
3121 3121
1

Prime factors of 9363 are 3,3121. Prime factorization of 9363 in exponential form is:

9363 = 31×31211

∴ So by taking common prime factors GCF of 9359 and 9363 is 1

Greatest Common Factor of 9359 and 9363 by matching factors method

Factors of 9359

List of positive integer factors of 9359 that divides 9359 without a remainder.

1,7,49,191,1337,9359

Factors of 9363

List of positive integer factors of 9363 that divides 9363 without a remainder.

1,3,3121,9363

Greatest Common Factor

We found the factors and prime factorization of 9359 and 9363. The biggest common factor number is the GCF number.
So the greatest common factor 9359 and 9363 is 1.

Also check out the Least Common Multiple of 9359 and 9363

Properties of GCF 9359 and 9363

(i) The GCF of 9359 and 9363 is associative

GCF of 9359 and 9363 = GCF of 9363 and 9359

Frequently Asked Questions on GCF of 9359 and 9363

1. What is the GCF of 9359 and 9363?

Answer: GCF of 9359 and 9363 is 1.

2. What are the Factors of 9359?

Answer: Factors of 9359 are 1, 7, 49, 191, 1337, 9359. There are 6 integers that are factors of 9359. The greatest factor of 9359 is 9359.

3. What are the Factors of 9363?

Answer: Factors of 9363 are 1, 3, 3121, 9363. There are 4 integers that are factors of 9363. The greatest factor of 9363 is 9363.

4. How to Find the GCF of 9359 and 9363?

Answer:

Greatest Common Factor of 9359 and 9363 = 1

Step 1: Find the prime factorization of 9359

9359 = 7 x 7 x 191

Step 2: Find the prime factorization of 9363

9363 = 3 x 3121

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 9359 and 9363 is 1