What is the Greatest Common Factor of 19946 and 19966?

Greatest common factor (GCF) of 19946 and 19966 is 2.

GCF(19946,19966) = 2

We will now calculate the prime factors of 19946 and 19966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19946 and 19966.

How to find the GCF of 19946 and 19966?

We will first find the prime factorization of 19946 and 19966. After we will calculate the factors of 19946 and 19966 and find the biggest common factor number .

Step-1: Prime Factorization of 19946

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

19946 = 2¹ × 9973¹

Step-2: Prime Factorization of 19966

Prime factors of 19966 are 2, 67, 149. Prime factorization of 19966 in exponential form is:

19966 = 2¹ × 67¹ × 149¹

Step-3: Factors of 19946

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

1, 2, 9973

Step-4: Factors of 19966

List of positive integer factors of 19966 that divides 19946 without a remainder.

1, 2, 67, 134, 149, 298, 9983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19946 and 19966. The biggest common factor number is the GCF number.
So the greatest common factor 19946 and 19966 is 2.

Also check out the Least Common Multiple of 19946 and 19966