What is the Greatest Common Factor of 16226 and 16234?

Greatest common factor (GCF) of 16226 and 16234 is 2.

GCF(16226,16234) = 2

We will now calculate the prime factors of 16226 and 16234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16226 and 16234.

How to find the GCF of 16226 and 16234?

We will first find the prime factorization of 16226 and 16234. After we will calculate the factors of 16226 and 16234 and find the biggest common factor number .

Step-1: Prime Factorization of 16226

Prime factors of 16226 are 2, 7, 19, 61. Prime factorization of 16226 in exponential form is:

16226 = 2¹ × 7¹ × 19¹ × 61¹

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 16226

List of positive integer factors of 16226 that divides 16226 without a remainder.

1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113

Step-4: Factors of 16234

List of positive integer factors of 16234 that divides 16226 without a remainder.

1, 2, 8117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16226 and 16234. The biggest common factor number is the GCF number.
So the greatest common factor 16226 and 16234 is 2.

Also check out the Least Common Multiple of 16226 and 16234