Greatest Common Factor of 9400 and 9404

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 9400, 9404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9400 and 9404 is 4.

GCF(9400,9404) = 4

GCF of 9400 and 9404

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

GCF of:
and

Greatest Common Factor of 9400 and 9404

GCF of 9400 and 9404 is 4

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

Prime Factorization of 9404


2 9404
2 4702
2351 2351
1

Prime factors of 9404 are 2,2351. Prime factorization of 9404 in exponential form is:

9404 = 22×23511

∴ So by taking common prime factors GCF of 9400 and 9404 is 4

Greatest Common Factor of 9400 and 9404 by matching factors method

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

Factors of 9404

List of positive integer factors of 9404 that divides 9404 without a remainder.

1,2,4,2351,4702,9404

Greatest Common Factor

We found the factors and prime factorization of 9400 and 9404. The biggest common factor number is the GCF number.
So the greatest common factor 9400 and 9404 is 4.

Also check out the Least Common Multiple of 9400 and 9404

Properties of GCF 9400 and 9404

(i) The GCF of 9400 and 9404 is associative

GCF of 9400 and 9404 = GCF of 9404 and 9400

Related Greatest Common Factor of 9400

Related Greatest Common Factor of 9404

Frequently Asked Questions on GCF of 9400 and 9404

1. What is the GCF of 9400 and 9404?

Answer: GCF of 9400 and 9404 is 4.

2. 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.

3. What are the Factors of 9404?

Answer: Factors of 9404 are 1, 2, 4, 2351, 4702, 9404. There are 6 integers that are factors of 9404. The greatest factor of 9404 is 9404.

4. How to Find the GCF of 9400 and 9404?

Answer:

Greatest Common Factor of 9400 and 9404 = 4

Step 1: Find the prime factorization of 9400

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

Step 2: Find the prime factorization of 9404

9404 = 2 x 2 x 2351

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9400 and 9404 is 4