Greatest Common Factor of 9400 and 9406

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, 9406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9400 and 9406 is 2.

GCF(9400,9406) = 2

GCF of 9400 and 9406

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

GCF of:
and

Greatest Common Factor of 9400 and 9406

GCF of 9400 and 9406 is 2

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 9406


2 9406
4703 4703
1

Prime factors of 9406 are 2,4703. Prime factorization of 9406 in exponential form is:

9406 = 21×47031

∴ So by taking common prime factors GCF of 9400 and 9406 is 2

Greatest Common Factor of 9400 and 9406 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 9406

List of positive integer factors of 9406 that divides 9406 without a remainder.

1,2,4703,9406

Greatest Common Factor

We found the factors and prime factorization of 9400 and 9406. The biggest common factor number is the GCF number.
So the greatest common factor 9400 and 9406 is 2.

Also check out the Least Common Multiple of 9400 and 9406

Properties of GCF 9400 and 9406

(i) The GCF of 9400 and 9406 is associative

GCF of 9400 and 9406 = GCF of 9406 and 9400

Related Greatest Common Factor of 9400

Related Greatest Common Factor of 9406

Frequently Asked Questions on GCF of 9400 and 9406

1. What is the GCF of 9400 and 9406?

Answer: GCF of 9400 and 9406 is 2.

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 9406?

Answer: Factors of 9406 are 1, 2, 4703, 9406. There are 4 integers that are factors of 9406. The greatest factor of 9406 is 9406.

4. How to Find the GCF of 9400 and 9406?

Answer:

Greatest Common Factor of 9400 and 9406 = 2

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 9406

9406 = 2 x 4703

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9400 and 9406 is 2