What is the Greatest Common Factor of 16072 and 16086?

Greatest common factor (GCF) of 16072 and 16086 is 14.

GCF(16072,16086) = 14

We will now calculate the prime factors of 16072 and 16086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16086.

How to find the GCF of 16072 and 16086?

We will first find the prime factorization of 16072 and 16086. After we will calculate the factors of 16072 and 16086 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 16086

Prime factors of 16086 are 2, 3, 7, 383. Prime factorization of 16086 in exponential form is:

16086 = 2¹ × 3¹ × 7¹ × 383¹

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 16086

List of positive integer factors of 16086 that divides 16072 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 383, 766, 1149, 2298, 2681, 5362, 8043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16086. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16086 is 14.

Also check out the Least Common Multiple of 16072 and 16086