What is the Greatest Common Factor of 9909 and 9916?

Greatest common factor (GCF) of 9909 and 9916 is 1.

GCF(9909,9916) = 1

We will now calculate the prime factors of 9909 and 9916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9909 and 9916.

How to find the GCF of 9909 and 9916?

We will first find the prime factorization of 9909 and 9916. After we will calculate the factors of 9909 and 9916 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 9916

Prime factors of 9916 are 2, 37, 67. Prime factorization of 9916 in exponential form is:

9916 = 2² × 37¹ × 67¹

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 9916

List of positive integer factors of 9916 that divides 9909 without a remainder.

1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9909 and 9916. The biggest common factor number is the GCF number.
So the greatest common factor 9909 and 9916 is 1.

Also check out the Least Common Multiple of 9909 and 9916