What is the Greatest Common Factor of 16194 and 16214?

Greatest common factor (GCF) of 16194 and 16214 is 2.

GCF(16194,16214) = 2

We will now calculate the prime factors of 16194 and 16214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16194 and 16214.

How to find the GCF of 16194 and 16214?

We will first find the prime factorization of 16194 and 16214. After we will calculate the factors of 16194 and 16214 and find the biggest common factor number .

Step-1: Prime Factorization of 16194

Prime factors of 16194 are 2, 3, 2699. Prime factorization of 16194 in exponential form is:

16194 = 2¹ × 3¹ × 2699¹

Step-2: Prime Factorization of 16214

Prime factors of 16214 are 2, 11, 67. Prime factorization of 16214 in exponential form is:

16214 = 2¹ × 11² × 67¹

Step-3: Factors of 16194

List of positive integer factors of 16194 that divides 16194 without a remainder.

1, 2, 3, 6, 2699, 5398, 8097

Step-4: Factors of 16214

List of positive integer factors of 16214 that divides 16194 without a remainder.

1, 2, 11, 22, 67, 121, 134, 242, 737, 1474, 8107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16194 and 16214. The biggest common factor number is the GCF number.
So the greatest common factor 16194 and 16214 is 2.

Also check out the Least Common Multiple of 16194 and 16214