What is the Greatest Common Factor of 18946 and 18966?

Greatest common factor (GCF) of 18946 and 18966 is 2.

GCF(18946,18966) = 2

We will now calculate the prime factors of 18946 and 18966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18946 and 18966.

How to find the GCF of 18946 and 18966?

We will first find the prime factorization of 18946 and 18966. After we will calculate the factors of 18946 and 18966 and find the biggest common factor number .

Step-1: Prime Factorization of 18946

Prime factors of 18946 are 2, 9473. Prime factorization of 18946 in exponential form is:

18946 = 2¹ × 9473¹

Step-2: Prime Factorization of 18966

Prime factors of 18966 are 2, 3, 29, 109. Prime factorization of 18966 in exponential form is:

18966 = 2¹ × 3¹ × 29¹ × 109¹

Step-3: Factors of 18946

List of positive integer factors of 18946 that divides 18946 without a remainder.

1, 2, 9473

Step-4: Factors of 18966

List of positive integer factors of 18966 that divides 18946 without a remainder.

1, 2, 3, 6, 29, 58, 87, 109, 174, 218, 327, 654, 3161, 6322, 9483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18946 and 18966. The biggest common factor number is the GCF number.
So the greatest common factor 18946 and 18966 is 2.

Also check out the Least Common Multiple of 18946 and 18966