What is the Greatest Common Factor of 16686 and 16704?

Greatest common factor (GCF) of 16686 and 16704 is 18.

GCF(16686,16704) = 18

We will now calculate the prime factors of 16686 and 16704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16686 and 16704.

How to find the GCF of 16686 and 16704?

We will first find the prime factorization of 16686 and 16704. After we will calculate the factors of 16686 and 16704 and find the biggest common factor number .

Step-1: Prime Factorization of 16686

Prime factors of 16686 are 2, 3, 103. Prime factorization of 16686 in exponential form is:

16686 = 2¹ × 3⁴ × 103¹

Step-2: Prime Factorization of 16704

Prime factors of 16704 are 2, 3, 29. Prime factorization of 16704 in exponential form is:

16704 = 2⁶ × 3² × 29¹

Step-3: Factors of 16686

List of positive integer factors of 16686 that divides 16686 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 103, 162, 206, 309, 618, 927, 1854, 2781, 5562, 8343

Step-4: Factors of 16704

List of positive integer factors of 16704 that divides 16686 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 116, 144, 174, 192, 232, 261, 288, 348, 464, 522, 576, 696, 928, 1044, 1392, 1856, 2088, 2784, 4176, 5568, 8352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16686 and 16704. The biggest common factor number is the GCF number.
So the greatest common factor 16686 and 16704 is 18.

Also check out the Least Common Multiple of 16686 and 16704