What is the Greatest Common Factor of 16206 and 16214?

Greatest common factor (GCF) of 16206 and 16214 is 2.

GCF(16206,16214) = 2

We will now calculate the prime factors of 16206 and 16214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16206 and 16214.

How to find the GCF of 16206 and 16214?

We will first find the prime factorization of 16206 and 16214. After we will calculate the factors of 16206 and 16214 and find the biggest common factor number .

Step-1: Prime Factorization of 16206

Prime factors of 16206 are 2, 3, 37, 73. Prime factorization of 16206 in exponential form is:

16206 = 2¹ × 3¹ × 37¹ × 73¹

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 16206

List of positive integer factors of 16206 that divides 16206 without a remainder.

1, 2, 3, 6, 37, 73, 74, 111, 146, 219, 222, 438, 2701, 5402, 8103

Step-4: Factors of 16214

List of positive integer factors of 16214 that divides 16206 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 16206 and 16214. The biggest common factor number is the GCF number.
So the greatest common factor 16206 and 16214 is 2.

Also check out the Least Common Multiple of 16206 and 16214