What is the Greatest Common Factor of 16082 and 16088?

Greatest common factor (GCF) of 16082 and 16088 is 2.

GCF(16082,16088) = 2

We will now calculate the prime factors of 16082 and 16088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16082 and 16088.

How to find the GCF of 16082 and 16088?

We will first find the prime factorization of 16082 and 16088. After we will calculate the factors of 16082 and 16088 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 16088

Prime factors of 16088 are 2, 2011. Prime factorization of 16088 in exponential form is:

16088 = 2³ × 2011¹

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 16088

List of positive integer factors of 16088 that divides 16082 without a remainder.

1, 2, 4, 8, 2011, 4022, 8044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16082 and 16088. The biggest common factor number is the GCF number.
So the greatest common factor 16082 and 16088 is 2.

Also check out the Least Common Multiple of 16082 and 16088