What is the Greatest Common Factor of 16214 and 16226?

Greatest common factor (GCF) of 16214 and 16226 is 2.

GCF(16214,16226) = 2

We will now calculate the prime factors of 16214 and 16226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16226.

How to find the GCF of 16214 and 16226?

We will first find the prime factorization of 16214 and 16226. After we will calculate the factors of 16214 and 16226 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 16226

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

16226 = 2¹ × 7¹ × 19¹ × 61¹

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 16226

List of positive integer factors of 16226 that divides 16214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16226. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16226 is 2.

Also check out the Least Common Multiple of 16214 and 16226