Greatest Common Factor of 9351 and 9357

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 9351, 9357 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9351 and 9357 is 3.

GCF(9351,9357) = 3

GCF of 9351 and 9357

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

GCF of:
and

Greatest Common Factor of 9351 and 9357

GCF of 9351 and 9357 is 3

Prime Factorization of 9351


3 9351
3 3117
1039 1039
1

Prime factors of 9351 are 3,1039. Prime factorization of 9351 in exponential form is:

9351 = 32×10391

Prime Factorization of 9357


3 9357
3119 3119
1

Prime factors of 9357 are 3,3119. Prime factorization of 9357 in exponential form is:

9357 = 31×31191

∴ So by taking common prime factors GCF of 9351 and 9357 is 3

Greatest Common Factor of 9351 and 9357 by matching factors method

Factors of 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1,3,9,1039,3117,9351

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Greatest Common Factor

We found the factors and prime factorization of 9351 and 9357. The biggest common factor number is the GCF number.
So the greatest common factor 9351 and 9357 is 3.

Also check out the Least Common Multiple of 9351 and 9357

Properties of GCF 9351 and 9357

(i) The GCF of 9351 and 9357 is associative

GCF of 9351 and 9357 = GCF of 9357 and 9351

Related Greatest Common Factor of 9351

Related Greatest Common Factor of 9357

Frequently Asked Questions on GCF of 9351 and 9357

1. What is the GCF of 9351 and 9357?

Answer: GCF of 9351 and 9357 is 3.

2. What are the Factors of 9351?

Answer: Factors of 9351 are 1, 3, 9, 1039, 3117, 9351. There are 6 integers that are factors of 9351. The greatest factor of 9351 is 9351.

3. What are the Factors of 9357?

Answer: Factors of 9357 are 1, 3, 3119, 9357. There are 4 integers that are factors of 9357. The greatest factor of 9357 is 9357.

4. How to Find the GCF of 9351 and 9357?

Answer:

Greatest Common Factor of 9351 and 9357 = 3

Step 1: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

Step 2: Find the prime factorization of 9357

9357 = 3 x 3119

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9351 and 9357 is 3