Greatest Common Factor of 9345 and 9350

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, 9350 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9345 and 9350 is 5.

GCF(9345,9350) = 5

GCF of 9345 and 9350

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

GCF of:
and

Greatest Common Factor of 9345 and 9350

GCF of 9345 and 9350 is 5

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 9350


2 9350
5 4675
5 935
11 187
17 17
1

Prime factors of 9350 are 2,5,11,17. Prime factorization of 9350 in exponential form is:

9350 = 21×52×111×171

∴ So by taking common prime factors GCF of 9345 and 9350 is 5

Greatest Common Factor of 9345 and 9350 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 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Greatest Common Factor

We found the factors and prime factorization of 9345 and 9350. The biggest common factor number is the GCF number.
So the greatest common factor 9345 and 9350 is 5.

Also check out the Least Common Multiple of 9345 and 9350

Properties of GCF 9345 and 9350

(i) The GCF of 9345 and 9350 is associative

GCF of 9345 and 9350 = GCF of 9350 and 9345

Related Greatest Common Factor of 9345

Related Greatest Common Factor of 9350

Frequently Asked Questions on GCF of 9345 and 9350

1. What is the GCF of 9345 and 9350?

Answer: GCF of 9345 and 9350 is 5.

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 9350?

Answer: Factors of 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350. There are 24 integers that are factors of 9350. The greatest factor of 9350 is 9350.

4. How to Find the GCF of 9345 and 9350?

Answer:

Greatest Common Factor of 9345 and 9350 = 5

Step 1: Find the prime factorization of 9345

9345 = 3 x 5 x 7 x 89

Step 2: Find the prime factorization of 9350

9350 = 2 x 5 x 5 x 11 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9345 and 9350 is 5