Greatest Common Factor of 9365 and 9370

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 9365, 9370 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9365 and 9370 is 5.

GCF(9365,9370) = 5

GCF of 9365 and 9370

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

GCF of:
and

Greatest Common Factor of 9365 and 9370

GCF of 9365 and 9370 is 5

Prime Factorization of 9365


5 9365
1873 1873
1

Prime factors of 9365 are 5,1873. Prime factorization of 9365 in exponential form is:

9365 = 51×18731

Prime Factorization of 9370


2 9370
5 4685
937 937
1

Prime factors of 9370 are 2,5,937. Prime factorization of 9370 in exponential form is:

9370 = 21×51×9371

∴ So by taking common prime factors GCF of 9365 and 9370 is 5

Greatest Common Factor of 9365 and 9370 by matching factors method

Factors of 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1,5,1873,9365

Factors of 9370

List of positive integer factors of 9370 that divides 9370 without a remainder.

1,2,5,10,937,1874,4685,9370

Greatest Common Factor

We found the factors and prime factorization of 9365 and 9370. The biggest common factor number is the GCF number.
So the greatest common factor 9365 and 9370 is 5.

Also check out the Least Common Multiple of 9365 and 9370

Properties of GCF 9365 and 9370

(i) The GCF of 9365 and 9370 is associative

GCF of 9365 and 9370 = GCF of 9370 and 9365

Related Greatest Common Factor of 9365

Related Greatest Common Factor of 9370

Frequently Asked Questions on GCF of 9365 and 9370

1. What is the GCF of 9365 and 9370?

Answer: GCF of 9365 and 9370 is 5.

2. What are the Factors of 9365?

Answer: Factors of 9365 are 1, 5, 1873, 9365. There are 4 integers that are factors of 9365. The greatest factor of 9365 is 9365.

3. What are the Factors of 9370?

Answer: Factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370. There are 8 integers that are factors of 9370. The greatest factor of 9370 is 9370.

4. How to Find the GCF of 9365 and 9370?

Answer:

Greatest Common Factor of 9365 and 9370 = 5

Step 1: Find the prime factorization of 9365

9365 = 5 x 1873

Step 2: Find the prime factorization of 9370

9370 = 2 x 5 x 937

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 9365 and 9370 is 5