What is the Greatest Common Factor of 9909 and 9913?

Greatest common factor (GCF) of 9909 and 9913 is 1.

GCF(9909,9913) = 1

We will now calculate the prime factors of 9909 and 9913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9909 and 9913.

How to find the GCF of 9909 and 9913?

We will first find the prime factorization of 9909 and 9913. After we will calculate the factors of 9909 and 9913 and find the biggest common factor number .

Step-1: Prime Factorization of 9909

Prime factors of 9909 are 3, 367. Prime factorization of 9909 in exponential form is:

9909 = 3³ × 367¹

Step-2: Prime Factorization of 9913

Prime factors of 9913 are 23, 431. Prime factorization of 9913 in exponential form is:

9913 = 23¹ × 431¹

Step-3: Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1, 3, 9, 27, 367, 1101, 3303

Step-4: Factors of 9913

List of positive integer factors of 9913 that divides 9909 without a remainder.

1, 23, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9909 and 9913. The biggest common factor number is the GCF number.
So the greatest common factor 9909 and 9913 is 1.

Also check out the Least Common Multiple of 9909 and 9913