What is the Greatest Common Factor of 16082 and 16096?

Greatest common factor (GCF) of 16082 and 16096 is 2.

GCF(16082,16096) = 2

We will now calculate the prime factors of 16082 and 16096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16082 and 16096.

How to find the GCF of 16082 and 16096?

We will first find the prime factorization of 16082 and 16096. After we will calculate the factors of 16082 and 16096 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 16096

Prime factors of 16096 are 2, 503. Prime factorization of 16096 in exponential form is:

16096 = 2⁵ × 503¹

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 16096

List of positive integer factors of 16096 that divides 16082 without a remainder.

1, 2, 4, 8, 16, 32, 503, 1006, 2012, 4024, 8048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16082 and 16096. The biggest common factor number is the GCF number.
So the greatest common factor 16082 and 16096 is 2.

Also check out the Least Common Multiple of 16082 and 16096