What is the Greatest Common Factor of 16165 and 16171?

Greatest common factor (GCF) of 16165 and 16171 is 1.

GCF(16165,16171) = 1

We will now calculate the prime factors of 16165 and 16171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16165 and 16171.

How to find the GCF of 16165 and 16171?

We will first find the prime factorization of 16165 and 16171. After we will calculate the factors of 16165 and 16171 and find the biggest common factor number .

Step-1: Prime Factorization of 16165

Prime factors of 16165 are 5, 53, 61. Prime factorization of 16165 in exponential form is:

16165 = 5¹ × 53¹ × 61¹

Step-2: Prime Factorization of 16171

Prime factors of 16171 are 103, 157. Prime factorization of 16171 in exponential form is:

16171 = 103¹ × 157¹

Step-3: Factors of 16165

List of positive integer factors of 16165 that divides 16165 without a remainder.

1, 5, 53, 61, 265, 305, 3233

Step-4: Factors of 16171

List of positive integer factors of 16171 that divides 16165 without a remainder.

1, 103, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16165 and 16171. The biggest common factor number is the GCF number.
So the greatest common factor 16165 and 16171 is 1.

Also check out the Least Common Multiple of 16165 and 16171