What is the Greatest Common Factor of 16214 and 16222?

Greatest common factor (GCF) of 16214 and 16222 is 2.

GCF(16214,16222) = 2

We will now calculate the prime factors of 16214 and 16222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16222.

How to find the GCF of 16214 and 16222?

We will first find the prime factorization of 16214 and 16222. After we will calculate the factors of 16214 and 16222 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 16222

Prime factors of 16222 are 2, 8111. Prime factorization of 16222 in exponential form is:

16222 = 2¹ × 8111¹

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 16222

List of positive integer factors of 16222 that divides 16214 without a remainder.

1, 2, 8111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16222. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16222 is 2.

Also check out the Least Common Multiple of 16214 and 16222