Greatest Common Factor of 9399 and 9401

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 9399, 9401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9399 and 9401 is 1.

GCF(9399,9401) = 1

GCF of 9399 and 9401

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

GCF of:
and

Greatest Common Factor of 9399 and 9401

GCF of 9399 and 9401 is 1

Prime Factorization of 9399


3 9399
13 3133
241 241
1

Prime factors of 9399 are 3,13,241. Prime factorization of 9399 in exponential form is:

9399 = 31×131×2411

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

∴ So by taking common prime factors GCF of 9399 and 9401 is 1

Greatest Common Factor of 9399 and 9401 by matching factors method

Factors of 9399

List of positive integer factors of 9399 that divides 9399 without a remainder.

1,3,13,39,241,723,3133,9399

Factors of 9401

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

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

Greatest Common Factor

We found the factors and prime factorization of 9399 and 9401. The biggest common factor number is the GCF number.
So the greatest common factor 9399 and 9401 is 1.

Also check out the Least Common Multiple of 9399 and 9401

Properties of GCF 9399 and 9401

(i) The GCF of 9399 and 9401 is associative

GCF of 9399 and 9401 = GCF of 9401 and 9399

Frequently Asked Questions on GCF of 9399 and 9401

1. What is the GCF of 9399 and 9401?

Answer: GCF of 9399 and 9401 is 1.

2. What are the Factors of 9399?

Answer: Factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399. There are 8 integers that are factors of 9399. The greatest factor of 9399 is 9399.

3. 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.

4. How to Find the GCF of 9399 and 9401?

Answer:

Greatest Common Factor of 9399 and 9401 = 1

Step 1: Find the prime factorization of 9399

9399 = 3 x 13 x 241

Step 2: Find the prime factorization of 9401

9401 = 7 x 17 x 79

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 9399 and 9401 is 1