What is the Greatest Common Factor of 16089 and 16104?

Greatest common factor (GCF) of 16089 and 16104 is 3.

GCF(16089,16104) = 3

We will now calculate the prime factors of 16089 and 16104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16089 and 16104.

How to find the GCF of 16089 and 16104?

We will first find the prime factorization of 16089 and 16104. After we will calculate the factors of 16089 and 16104 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 16104

Prime factors of 16104 are 2, 3, 11, 61. Prime factorization of 16104 in exponential form is:

16104 = 2³ × 3¹ × 11¹ × 61¹

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 16104

List of positive integer factors of 16104 that divides 16089 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 61, 66, 88, 122, 132, 183, 244, 264, 366, 488, 671, 732, 1342, 1464, 2013, 2684, 4026, 5368, 8052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16089 and 16104. The biggest common factor number is the GCF number.
So the greatest common factor 16089 and 16104 is 3.

Also check out the Least Common Multiple of 16089 and 16104