What is the Greatest Common Factor of 16214 and 16220?

Greatest common factor (GCF) of 16214 and 16220 is 2.

GCF(16214,16220) = 2

We will now calculate the prime factors of 16214 and 16220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16214 and 16220.

How to find the GCF of 16214 and 16220?

We will first find the prime factorization of 16214 and 16220. After we will calculate the factors of 16214 and 16220 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 16220

Prime factors of 16220 are 2, 5, 811. Prime factorization of 16220 in exponential form is:

16220 = 2² × 5¹ × 811¹

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 16220

List of positive integer factors of 16220 that divides 16214 without a remainder.

1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16214 and 16220. The biggest common factor number is the GCF number.
So the greatest common factor 16214 and 16220 is 2.

Also check out the Least Common Multiple of 16214 and 16220