Greatest Common Factor of 9404 and 9412

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 9404, 9412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9404 and 9412 is 4.

GCF(9404,9412) = 4

GCF of 9404 and 9412

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

GCF of:
and

Greatest Common Factor of 9404 and 9412

GCF of 9404 and 9412 is 4

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

Prime Factorization of 9412


2 9412
2 4706
13 2353
181 181
1

Prime factors of 9412 are 2,13,181. Prime factorization of 9412 in exponential form is:

9412 = 22×131×1811

∴ So by taking common prime factors GCF of 9404 and 9412 is 4

Greatest Common Factor of 9404 and 9412 by matching factors method

Factors of 9404

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

1,2,4,2351,4702,9404

Factors of 9412

List of positive integer factors of 9412 that divides 9412 without a remainder.

1,2,4,13,26,52,181,362,724,2353,4706,9412

Greatest Common Factor

We found the factors and prime factorization of 9404 and 9412. The biggest common factor number is the GCF number.
So the greatest common factor 9404 and 9412 is 4.

Also check out the Least Common Multiple of 9404 and 9412

Properties of GCF 9404 and 9412

(i) The GCF of 9404 and 9412 is associative

GCF of 9404 and 9412 = GCF of 9412 and 9404

Related Greatest Common Factor of 9404

Related Greatest Common Factor of 9412

Frequently Asked Questions on GCF of 9404 and 9412

1. What is the GCF of 9404 and 9412?

Answer: GCF of 9404 and 9412 is 4.

2. 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.

3. What are the Factors of 9412?

Answer: Factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412. There are 12 integers that are factors of 9412. The greatest factor of 9412 is 9412.

4. How to Find the GCF of 9404 and 9412?

Answer:

Greatest Common Factor of 9404 and 9412 = 4

Step 1: Find the prime factorization of 9404

9404 = 2 x 2 x 2351

Step 2: Find the prime factorization of 9412

9412 = 2 x 2 x 13 x 181

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 9404 and 9412 is 4