What is the Greatest Common Factor of 16082 and 16093?

Greatest common factor (GCF) of 16082 and 16093 is 11.

GCF(16082,16093) = 11

We will now calculate the prime factors of 16082 and 16093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16082 and 16093.

How to find the GCF of 16082 and 16093?

We will first find the prime factorization of 16082 and 16093. After we will calculate the factors of 16082 and 16093 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 16093

Prime factors of 16093 are 7, 11, 19. Prime factorization of 16093 in exponential form is:

16093 = 7¹ × 11² × 19¹

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 16093

List of positive integer factors of 16093 that divides 16082 without a remainder.

1, 7, 11, 19, 77, 121, 133, 209, 847, 1463, 2299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16082 and 16093. The biggest common factor number is the GCF number.
So the greatest common factor 16082 and 16093 is 11.

Also check out the Least Common Multiple of 16082 and 16093