What is the Greatest Common Factor of 16214 and 16228?

Greatest common factor (GCF) of 16214 and 16228 is 2.

GCF(16214,16228) = 2

We will now calculate the prime factors of 16214 and 16228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16228.

How to find the GCF of 16214 and 16228?

We will first find the prime factorization of 16214 and 16228. After we will calculate the factors of 16214 and 16228 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 16228

Prime factors of 16228 are 2, 4057. Prime factorization of 16228 in exponential form is:

16228 = 2² × 4057¹

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 16228

List of positive integer factors of 16228 that divides 16214 without a remainder.

1, 2, 4, 4057, 8114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16228. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16228 is 2.

Also check out the Least Common Multiple of 16214 and 16228