What is the Greatest Common Factor of 16214 and 16231?

Greatest common factor (GCF) of 16214 and 16231 is 1.

GCF(16214,16231) = 1

We will now calculate the prime factors of 16214 and 16231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16231.

How to find the GCF of 16214 and 16231?

We will first find the prime factorization of 16214 and 16231. After we will calculate the factors of 16214 and 16231 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 16231

Prime factors of 16231 are 16231. Prime factorization of 16231 in exponential form is:

16231 = 16231¹

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 16231

List of positive integer factors of 16231 that divides 16214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16231. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16231 is 1.

Also check out the Least Common Multiple of 16214 and 16231