What is the Greatest Common Factor of 16058 and 16072?

Greatest common factor (GCF) of 16058 and 16072 is 14.

GCF(16058,16072) = 14

We will now calculate the prime factors of 16058 and 16072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16058 and 16072.

How to find the GCF of 16058 and 16072?

We will first find the prime factorization of 16058 and 16072. After we will calculate the factors of 16058 and 16072 and find the biggest common factor number .

Step-1: Prime Factorization of 16058

Prime factors of 16058 are 2, 7, 31, 37. Prime factorization of 16058 in exponential form is:

16058 = 2¹ × 7¹ × 31¹ × 37¹

Step-2: 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-3: Factors of 16058

List of positive integer factors of 16058 that divides 16058 without a remainder.

1, 2, 7, 14, 31, 37, 62, 74, 217, 259, 434, 518, 1147, 2294, 8029

Step-4: Factors of 16072

List of positive integer factors of 16072 that divides 16058 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16058 and 16072. The biggest common factor number is the GCF number.
So the greatest common factor 16058 and 16072 is 14.

Also check out the Least Common Multiple of 16058 and 16072