What is the Greatest Common Factor of 16082 and 16097?

Greatest common factor (GCF) of 16082 and 16097 is 1.

GCF(16082,16097) = 1

We will now calculate the prime factors of 16082 and 16097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16082 and 16097.

How to find the GCF of 16082 and 16097?

We will first find the prime factorization of 16082 and 16097. After we will calculate the factors of 16082 and 16097 and find the biggest common factor number .

Step-1: Prime Factorization of 16082

Prime factors of 16082 are 2, 11, 17, 43. Prime factorization of 16082 in exponential form is:

16082 = 2¹ × 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 16097

Prime factors of 16097 are 16097. Prime factorization of 16097 in exponential form is:

16097 = 16097¹

Step-3: Factors of 16082

List of positive integer factors of 16082 that divides 16082 without a remainder.

1, 2, 11, 17, 22, 34, 43, 86, 187, 374, 473, 731, 946, 1462, 8041

Step-4: Factors of 16097

List of positive integer factors of 16097 that divides 16082 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16082 and 16097. The biggest common factor number is the GCF number.
So the greatest common factor 16082 and 16097 is 1.

Also check out the Least Common Multiple of 16082 and 16097