What is the Greatest Common Factor of 16086 and 16093?

Greatest common factor (GCF) of 16086 and 16093 is 7.

GCF(16086,16093) = 7

We will now calculate the prime factors of 16086 and 16093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16086 and 16093.

How to find the GCF of 16086 and 16093?

We will first find the prime factorization of 16086 and 16093. After we will calculate the factors of 16086 and 16093 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16093

Prime factors of 16093 are 7, 11, 19. Prime factorization of 16093 in exponential form is:

16093 = 7¹ × 11² × 19¹

Step-3: Factors of 16086

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

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

Step-4: Factors of 16093

List of positive integer factors of 16093 that divides 16086 without a remainder.

1, 7, 11, 19, 77, 121, 133, 209, 847, 1463, 2299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16086 and 16093. The biggest common factor number is the GCF number.
So the greatest common factor 16086 and 16093 is 7.

Also check out the Least Common Multiple of 16086 and 16093