What is the Greatest Common Factor of 9916 and 9934?

Greatest common factor (GCF) of 9916 and 9934 is 2.

GCF(9916,9934) = 2

We will now calculate the prime factors of 9916 and 9934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9916 and 9934.

How to find the GCF of 9916 and 9934?

We will first find the prime factorization of 9916 and 9934. After we will calculate the factors of 9916 and 9934 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9934

Prime factors of 9934 are 2, 4967. Prime factorization of 9934 in exponential form is:

9934 = 2¹ × 4967¹

Step-3: Factors of 9916

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

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

Step-4: Factors of 9934

List of positive integer factors of 9934 that divides 9916 without a remainder.

1, 2, 4967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9916 and 9934. The biggest common factor number is the GCF number.
So the greatest common factor 9916 and 9934 is 2.

Also check out the Least Common Multiple of 9916 and 9934