Greatest Common Factor of 9395 and 9400

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 9395, 9400 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9395 and 9400 is 5.

GCF(9395,9400) = 5

GCF of 9395 and 9400

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

GCF of:
and

Greatest Common Factor of 9395 and 9400

GCF of 9395 and 9400 is 5

Prime Factorization of 9395


5 9395
1879 1879
1

Prime factors of 9395 are 5,1879. Prime factorization of 9395 in exponential form is:

9395 = 51×18791

Prime Factorization of 9400


2 9400
2 4700
2 2350
5 1175
5 235
47 47
1

Prime factors of 9400 are 2,5,47. Prime factorization of 9400 in exponential form is:

9400 = 23×52×471

∴ So by taking common prime factors GCF of 9395 and 9400 is 5

Greatest Common Factor of 9395 and 9400 by matching factors method

Factors of 9395

List of positive integer factors of 9395 that divides 9395 without a remainder.

1,5,1879,9395

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400

Greatest Common Factor

We found the factors and prime factorization of 9395 and 9400. The biggest common factor number is the GCF number.
So the greatest common factor 9395 and 9400 is 5.

Also check out the Least Common Multiple of 9395 and 9400

Properties of GCF 9395 and 9400

(i) The GCF of 9395 and 9400 is associative

GCF of 9395 and 9400 = GCF of 9400 and 9395

Related Greatest Common Factor of 9395

Related Greatest Common Factor of 9400

Frequently Asked Questions on GCF of 9395 and 9400

1. What is the GCF of 9395 and 9400?

Answer: GCF of 9395 and 9400 is 5.

2. What are the Factors of 9395?

Answer: Factors of 9395 are 1, 5, 1879, 9395. There are 4 integers that are factors of 9395. The greatest factor of 9395 is 9395.

3. What are the Factors of 9400?

Answer: Factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400. There are 24 integers that are factors of 9400. The greatest factor of 9400 is 9400.

4. How to Find the GCF of 9395 and 9400?

Answer:

Greatest Common Factor of 9395 and 9400 = 5

Step 1: Find the prime factorization of 9395

9395 = 5 x 1879

Step 2: Find the prime factorization of 9400

9400 = 2 x 2 x 2 x 5 x 5 x 47

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 9395 and 9400 is 5