Greatest Common Factor of 9345 and 9351

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 9345, 9351 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9345 and 9351 is 3.

GCF(9345,9351) = 3

GCF of 9345 and 9351

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

GCF of:
and

Greatest Common Factor of 9345 and 9351

GCF of 9345 and 9351 is 3

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

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

∴ So by taking common prime factors GCF of 9345 and 9351 is 3

Greatest Common Factor of 9345 and 9351 by matching factors method

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

Factors of 9351

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

1,3,9,1039,3117,9351

Greatest Common Factor

We found the factors and prime factorization of 9345 and 9351. The biggest common factor number is the GCF number.
So the greatest common factor 9345 and 9351 is 3.

Also check out the Least Common Multiple of 9345 and 9351

Properties of GCF 9345 and 9351

(i) The GCF of 9345 and 9351 is associative

GCF of 9345 and 9351 = GCF of 9351 and 9345

Related Greatest Common Factor of 9345

Related Greatest Common Factor of 9351

Frequently Asked Questions on GCF of 9345 and 9351

1. What is the GCF of 9345 and 9351?

Answer: GCF of 9345 and 9351 is 3.

2. 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.

3. 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.

4. How to Find the GCF of 9345 and 9351?

Answer:

Greatest Common Factor of 9345 and 9351 = 3

Step 1: Find the prime factorization of 9345

9345 = 3 x 5 x 7 x 89

Step 2: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

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 9345 and 9351 is 3