What is the Greatest Common Factor of 16089 and 16103?

Greatest common factor (GCF) of 16089 and 16103 is 1.

GCF(16089,16103) = 1

We will now calculate the prime factors of 16089 and 16103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16089 and 16103.

How to find the GCF of 16089 and 16103?

We will first find the prime factorization of 16089 and 16103. After we will calculate the factors of 16089 and 16103 and find the biggest common factor number .

Step-1: Prime Factorization of 16089

Prime factors of 16089 are 3, 31, 173. Prime factorization of 16089 in exponential form is:

16089 = 3¹ × 31¹ × 173¹

Step-2: Prime Factorization of 16103

Prime factors of 16103 are 16103. Prime factorization of 16103 in exponential form is:

16103 = 16103¹

Step-3: Factors of 16089

List of positive integer factors of 16089 that divides 16089 without a remainder.

1, 3, 31, 93, 173, 519, 5363

Step-4: Factors of 16103

List of positive integer factors of 16103 that divides 16089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16089 and 16103. The biggest common factor number is the GCF number.
So the greatest common factor 16089 and 16103 is 1.

Also check out the Least Common Multiple of 16089 and 16103