What is the Greatest Common Factor of 16214 and 16230?

Greatest common factor (GCF) of 16214 and 16230 is 2.

GCF(16214,16230) = 2

We will now calculate the prime factors of 16214 and 16230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16230.

How to find the GCF of 16214 and 16230?

We will first find the prime factorization of 16214 and 16230. After we will calculate the factors of 16214 and 16230 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 16230

Prime factors of 16230 are 2, 3, 5, 541. Prime factorization of 16230 in exponential form is:

16230 = 2¹ × 3¹ × 5¹ × 541¹

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 16230

List of positive integer factors of 16230 that divides 16214 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 541, 1082, 1623, 2705, 3246, 5410, 8115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16230. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16230 is 2.

Also check out the Least Common Multiple of 16214 and 16230