What is the Greatest Common Factor of 16214 and 16221?

Greatest common factor (GCF) of 16214 and 16221 is 1.

GCF(16214,16221) = 1

We will now calculate the prime factors of 16214 and 16221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16221.

How to find the GCF of 16214 and 16221?

We will first find the prime factorization of 16214 and 16221. After we will calculate the factors of 16214 and 16221 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16221

Prime factors of 16221 are 3, 5407. Prime factorization of 16221 in exponential form is:

16221 = 3¹ × 5407¹

Step-3: Factors of 16214

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

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

Step-4: Factors of 16221

List of positive integer factors of 16221 that divides 16214 without a remainder.

1, 3, 5407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16221. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16221 is 1.

Also check out the Least Common Multiple of 16214 and 16221