What is the Greatest Common Factor of 16228 and 16242?

Greatest common factor (GCF) of 16228 and 16242 is 2.

GCF(16228,16242) = 2

We will now calculate the prime factors of 16228 and 16242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16228 and 16242.

How to find the GCF of 16228 and 16242?

We will first find the prime factorization of 16228 and 16242. After we will calculate the factors of 16228 and 16242 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 16242

Prime factors of 16242 are 2, 3, 2707. Prime factorization of 16242 in exponential form is:

16242 = 2¹ × 3¹ × 2707¹

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 16242

List of positive integer factors of 16242 that divides 16228 without a remainder.

1, 2, 3, 6, 2707, 5414, 8121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16228 and 16242. The biggest common factor number is the GCF number.
So the greatest common factor 16228 and 16242 is 2.

Also check out the Least Common Multiple of 16228 and 16242