What is the Greatest Common Factor of 19916 and 19926?

Greatest common factor (GCF) of 19916 and 19926 is 2.

GCF(19916,19926) = 2

We will now calculate the prime factors of 19916 and 19926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19916 and 19926.

How to find the GCF of 19916 and 19926?

We will first find the prime factorization of 19916 and 19926. After we will calculate the factors of 19916 and 19926 and find the biggest common factor number .

Step-1: Prime Factorization of 19916

Prime factors of 19916 are 2, 13, 383. Prime factorization of 19916 in exponential form is:

19916 = 2² × 13¹ × 383¹

Step-2: Prime Factorization of 19926

Prime factors of 19926 are 2, 3, 41. Prime factorization of 19926 in exponential form is:

19926 = 2¹ × 3⁵ × 41¹

Step-3: Factors of 19916

List of positive integer factors of 19916 that divides 19916 without a remainder.

1, 2, 4, 13, 26, 52, 383, 766, 1532, 4979, 9958

Step-4: Factors of 19926

List of positive integer factors of 19926 that divides 19916 without a remainder.

1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 243, 246, 369, 486, 738, 1107, 2214, 3321, 6642, 9963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19916 and 19926. The biggest common factor number is the GCF number.
So the greatest common factor 19916 and 19926 is 2.

Also check out the Least Common Multiple of 19916 and 19926