What is the Greatest Common Factor of 16075 and 16086?

Greatest common factor (GCF) of 16075 and 16086 is 1.

GCF(16075,16086) = 1

We will now calculate the prime factors of 16075 and 16086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16075 and 16086.

How to find the GCF of 16075 and 16086?

We will first find the prime factorization of 16075 and 16086. After we will calculate the factors of 16075 and 16086 and find the biggest common factor number .

Step-1: Prime Factorization of 16075

Prime factors of 16075 are 5, 643. Prime factorization of 16075 in exponential form is:

16075 = 5² × 643¹

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 16075

List of positive integer factors of 16075 that divides 16075 without a remainder.

1, 5, 25, 643, 3215

Step-4: Factors of 16086

List of positive integer factors of 16086 that divides 16075 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 16075 and 16086. The biggest common factor number is the GCF number.
So the greatest common factor 16075 and 16086 is 1.

Also check out the Least Common Multiple of 16075 and 16086