What is the Greatest Common Factor of 19926 and 19938?

Greatest common factor (GCF) of 19926 and 19938 is 6.

GCF(19926,19938) = 6

We will now calculate the prime factors of 19926 and 19938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19926 and 19938.

How to find the GCF of 19926 and 19938?

We will first find the prime factorization of 19926 and 19938. After we will calculate the factors of 19926 and 19938 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19938

Prime factors of 19938 are 2, 3, 3323. Prime factorization of 19938 in exponential form is:

19938 = 2¹ × 3¹ × 3323¹

Step-3: Factors of 19926

List of positive integer factors of 19926 that divides 19926 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

Step-4: Factors of 19938

List of positive integer factors of 19938 that divides 19926 without a remainder.

1, 2, 3, 6, 3323, 6646, 9969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19926 and 19938. The biggest common factor number is the GCF number.
So the greatest common factor 19926 and 19938 is 6.

Also check out the Least Common Multiple of 19926 and 19938