What is the Greatest Common Factor of 16072 and 16078?

Greatest common factor (GCF) of 16072 and 16078 is 2.

GCF(16072,16078) = 2

We will now calculate the prime factors of 16072 and 16078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16078.

How to find the GCF of 16072 and 16078?

We will first find the prime factorization of 16072 and 16078. After we will calculate the factors of 16072 and 16078 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 16078

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

16078 = 2¹ × 8039¹

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 16078

List of positive integer factors of 16078 that divides 16072 without a remainder.

1, 2, 8039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16078. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16078 is 2.

Also check out the Least Common Multiple of 16072 and 16078