What is the Greatest Common Factor of 19926 and 19946?

Greatest common factor (GCF) of 19926 and 19946 is 2.

GCF(19926,19946) = 2

We will now calculate the prime factors of 19926 and 19946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19926 and 19946.

How to find the GCF of 19926 and 19946?

We will first find the prime factorization of 19926 and 19946. After we will calculate the factors of 19926 and 19946 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 19946

Prime factors of 19946 are 2, 9973. Prime factorization of 19946 in exponential form is:

19946 = 2¹ × 9973¹

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 19946

List of positive integer factors of 19946 that divides 19926 without a remainder.

1, 2, 9973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19926 and 19946. The biggest common factor number is the GCF number.
So the greatest common factor 19926 and 19946 is 2.

Also check out the Least Common Multiple of 19926 and 19946