What is the Greatest Common Factor of 16214 and 16229?

Greatest common factor (GCF) of 16214 and 16229 is 1.

GCF(16214,16229) = 1

We will now calculate the prime factors of 16214 and 16229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16229.

How to find the GCF of 16214 and 16229?

We will first find the prime factorization of 16214 and 16229. After we will calculate the factors of 16214 and 16229 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 16229

Prime factors of 16229 are 16229. Prime factorization of 16229 in exponential form is:

16229 = 16229¹

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 16229

List of positive integer factors of 16229 that divides 16214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16229. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16229 is 1.

Also check out the Least Common Multiple of 16214 and 16229