What is the Greatest Common Factor of 16205 and 16217?

Greatest common factor (GCF) of 16205 and 16217 is 1.

GCF(16205,16217) = 1

We will now calculate the prime factors of 16205 and 16217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16205 and 16217.

How to find the GCF of 16205 and 16217?

We will first find the prime factorization of 16205 and 16217. After we will calculate the factors of 16205 and 16217 and find the biggest common factor number .

Step-1: Prime Factorization of 16205

Prime factors of 16205 are 5, 7, 463. Prime factorization of 16205 in exponential form is:

16205 = 5¹ × 7¹ × 463¹

Step-2: Prime Factorization of 16217

Prime factors of 16217 are 16217. Prime factorization of 16217 in exponential form is:

16217 = 16217¹

Step-3: Factors of 16205

List of positive integer factors of 16205 that divides 16205 without a remainder.

1, 5, 7, 35, 463, 2315, 3241

Step-4: Factors of 16217

List of positive integer factors of 16217 that divides 16205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16205 and 16217. The biggest common factor number is the GCF number.
So the greatest common factor 16205 and 16217 is 1.

Also check out the Least Common Multiple of 16205 and 16217