What is the Greatest Common Factor of 16082 and 16094?

Greatest common factor (GCF) of 16082 and 16094 is 2.

GCF(16082,16094) = 2

We will now calculate the prime factors of 16082 and 16094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16082 and 16094.

How to find the GCF of 16082 and 16094?

We will first find the prime factorization of 16082 and 16094. After we will calculate the factors of 16082 and 16094 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 16094

Prime factors of 16094 are 2, 13, 619. Prime factorization of 16094 in exponential form is:

16094 = 2¹ × 13¹ × 619¹

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 16094

List of positive integer factors of 16094 that divides 16082 without a remainder.

1, 2, 13, 26, 619, 1238, 8047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16082 and 16094. The biggest common factor number is the GCF number.
So the greatest common factor 16082 and 16094 is 2.

Also check out the Least Common Multiple of 16082 and 16094