What is the Greatest Common Factor of 16078 and 16082?

Greatest common factor (GCF) of 16078 and 16082 is 2.

GCF(16078,16082) = 2

We will now calculate the prime factors of 16078 and 16082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16078 and 16082.

How to find the GCF of 16078 and 16082?

We will first find the prime factorization of 16078 and 16082. After we will calculate the factors of 16078 and 16082 and find the biggest common factor number .

Step-1: Prime Factorization of 16078

Prime factors of 16078 are 2, 8039. Prime factorization of 16078 in exponential form is:

16078 = 2¹ × 8039¹

Step-2: 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-3: Factors of 16078

List of positive integer factors of 16078 that divides 16078 without a remainder.

1, 2, 8039

Step-4: Factors of 16082

List of positive integer factors of 16082 that divides 16078 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16078 and 16082. The biggest common factor number is the GCF number.
So the greatest common factor 16078 and 16082 is 2.

Also check out the Least Common Multiple of 16078 and 16082