What is the Greatest Common Factor of 16104 and 16119?

Greatest common factor (GCF) of 16104 and 16119 is 3.

GCF(16104,16119) = 3

We will now calculate the prime factors of 16104 and 16119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16104 and 16119.

How to find the GCF of 16104 and 16119?

We will first find the prime factorization of 16104 and 16119. After we will calculate the factors of 16104 and 16119 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16119

Prime factors of 16119 are 3, 199. Prime factorization of 16119 in exponential form is:

16119 = 3⁴ × 199¹

Step-3: Factors of 16104

List of positive integer factors of 16104 that divides 16104 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

Step-4: Factors of 16119

List of positive integer factors of 16119 that divides 16104 without a remainder.

1, 3, 9, 27, 81, 199, 597, 1791, 5373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16104 and 16119. The biggest common factor number is the GCF number.
So the greatest common factor 16104 and 16119 is 3.

Also check out the Least Common Multiple of 16104 and 16119