Greatest Common Factor of 9401 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 9401, 9404 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9401 and 9404 is 1.

GCF(9401,9404) = 1

GCF of 9401 and 9404

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

GCF of:
and

Greatest Common Factor of 9401 and 9404

GCF of 9401 and 9404 is 1

Prime Factorization of 9401


7 9401
17 1343
79 79
1

Prime factors of 9401 are 7,17,79. Prime factorization of 9401 in exponential form is:

9401 = 71×171×791

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 9401 and 9404 is 1

Greatest Common Factor of 9401 and 9404 by matching factors method

Factors of 9401

List of positive integer factors of 9401 that divides 9401 without a remainder.

1,7,17,79,119,553,1343,9401

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 9401 and 9404. The biggest common factor number is the GCF number.
So the greatest common factor 9401 and 9404 is 1.

Also check out the Least Common Multiple of 9401 and 9404

Properties of GCF 9401 and 9404

(i) The GCF of 9401 and 9404 is associative

GCF of 9401 and 9404 = GCF of 9404 and 9401

Related Greatest Common Factor of 9401

Related Greatest Common Factor of 9404

Frequently Asked Questions on GCF of 9401 and 9404

1. What is the GCF of 9401 and 9404?

Answer: GCF of 9401 and 9404 is 1.

2. What are the Factors of 9401?

Answer: Factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401. There are 8 integers that are factors of 9401. The greatest factor of 9401 is 9401.

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 9401 and 9404?

Answer:

Greatest Common Factor of 9401 and 9404 = 1

Step 1: Find the prime factorization of 9401

9401 = 7 x 17 x 79

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 = = 1

Step 4: Therefore, the greatest common factor of 9401 and 9404 is 1