What is the Greatest Common Factor of 16089 and 16095?

Greatest common factor (GCF) of 16089 and 16095 is 3.

GCF(16089,16095) = 3

We will now calculate the prime factors of 16089 and 16095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16089 and 16095.

How to find the GCF of 16089 and 16095?

We will first find the prime factorization of 16089 and 16095. After we will calculate the factors of 16089 and 16095 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 16095

Prime factors of 16095 are 3, 5, 29, 37. Prime factorization of 16095 in exponential form is:

16095 = 3¹ × 5¹ × 29¹ × 37¹

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 16095

List of positive integer factors of 16095 that divides 16089 without a remainder.

1, 3, 5, 15, 29, 37, 87, 111, 145, 185, 435, 555, 1073, 3219, 5365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16089 and 16095. The biggest common factor number is the GCF number.
So the greatest common factor 16089 and 16095 is 3.

Also check out the Least Common Multiple of 16089 and 16095