What is the Greatest Common Factor of 18966 and 18973?

Greatest common factor (GCF) of 18966 and 18973 is 1.

GCF(18966,18973) = 1

We will now calculate the prime factors of 18966 and 18973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18966 and 18973.

How to find the GCF of 18966 and 18973?

We will first find the prime factorization of 18966 and 18973. After we will calculate the factors of 18966 and 18973 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18973

Prime factors of 18973 are 18973. Prime factorization of 18973 in exponential form is:

18973 = 18973¹

Step-3: Factors of 18966

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

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

Step-4: Factors of 18973

List of positive integer factors of 18973 that divides 18966 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18966 and 18973. The biggest common factor number is the GCF number.
So the greatest common factor 18966 and 18973 is 1.

Also check out the Least Common Multiple of 18966 and 18973