What is the Greatest Common Factor of 9916 and 9926?

Greatest common factor (GCF) of 9916 and 9926 is 2.

GCF(9916,9926) = 2

We will now calculate the prime factors of 9916 and 9926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9916 and 9926.

How to find the GCF of 9916 and 9926?

We will first find the prime factorization of 9916 and 9926. After we will calculate the factors of 9916 and 9926 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 9926

Prime factors of 9926 are 2, 7, 709. Prime factorization of 9926 in exponential form is:

9926 = 2¹ × 7¹ × 709¹

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 9926

List of positive integer factors of 9926 that divides 9916 without a remainder.

1, 2, 7, 14, 709, 1418, 4963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9916 and 9926. The biggest common factor number is the GCF number.
So the greatest common factor 9916 and 9926 is 2.

Also check out the Least Common Multiple of 9916 and 9926