What is the Greatest Common Factor of 16072 and 16082?

Greatest common factor (GCF) of 16072 and 16082 is 2.

GCF(16072,16082) = 2

We will now calculate the prime factors of 16072 and 16082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16082.

How to find the GCF of 16072 and 16082?

We will first find the prime factorization of 16072 and 16082. After we will calculate the factors of 16072 and 16082 and find the biggest common factor number .

Step-1: Prime Factorization of 16072

Prime factors of 16072 are 2, 7, 41. Prime factorization of 16072 in exponential form is:

16072 = 2³ × 7² × 41¹

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 16072

List of positive integer factors of 16072 that divides 16072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 49, 56, 82, 98, 164, 196, 287, 328, 392, 574, 1148, 2009, 2296, 4018, 8036

Step-4: Factors of 16082

List of positive integer factors of 16082 that divides 16072 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 16072 and 16082. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16082 is 2.

Also check out the Least Common Multiple of 16072 and 16082