What is the Greatest Common Factor of 19926 and 19933?

Greatest common factor (GCF) of 19926 and 19933 is 1.

GCF(19926,19933) = 1

We will now calculate the prime factors of 19926 and 19933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19926 and 19933.

How to find the GCF of 19926 and 19933?

We will first find the prime factorization of 19926 and 19933. After we will calculate the factors of 19926 and 19933 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 19933

Prime factors of 19933 are 31, 643. Prime factorization of 19933 in exponential form is:

19933 = 31¹ × 643¹

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 19933

List of positive integer factors of 19933 that divides 19926 without a remainder.

1, 31, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19926 and 19933. The biggest common factor number is the GCF number.
So the greatest common factor 19926 and 19933 is 1.

Also check out the Least Common Multiple of 19926 and 19933