What is the Greatest Common Factor of 16228 and 16234?

Greatest common factor (GCF) of 16228 and 16234 is 2.

GCF(16228,16234) = 2

We will now calculate the prime factors of 16228 and 16234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16228 and 16234.

How to find the GCF of 16228 and 16234?

We will first find the prime factorization of 16228 and 16234. After we will calculate the factors of 16228 and 16234 and find the biggest common factor number .

Step-1: Prime Factorization of 16228

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

16228 = 2² × 4057¹

Step-2: Prime Factorization of 16234

Prime factors of 16234 are 2, 8117. Prime factorization of 16234 in exponential form is:

16234 = 2¹ × 8117¹

Step-3: Factors of 16228

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

1, 2, 4, 4057, 8114

Step-4: Factors of 16234

List of positive integer factors of 16234 that divides 16228 without a remainder.

1, 2, 8117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16228 and 16234. The biggest common factor number is the GCF number.
So the greatest common factor 16228 and 16234 is 2.

Also check out the Least Common Multiple of 16228 and 16234