What is the Greatest Common Factor of 16719 and 16728?

Greatest common factor (GCF) of 16719 and 16728 is 3.

GCF(16719,16728) = 3

We will now calculate the prime factors of 16719 and 16728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16719 and 16728.

How to find the GCF of 16719 and 16728?

We will first find the prime factorization of 16719 and 16728. After we will calculate the factors of 16719 and 16728 and find the biggest common factor number .

Step-1: Prime Factorization of 16719

Prime factors of 16719 are 3, 5573. Prime factorization of 16719 in exponential form is:

16719 = 3¹ × 5573¹

Step-2: Prime Factorization of 16728

Prime factors of 16728 are 2, 3, 17, 41. Prime factorization of 16728 in exponential form is:

16728 = 2³ × 3¹ × 17¹ × 41¹

Step-3: Factors of 16719

List of positive integer factors of 16719 that divides 16719 without a remainder.

1, 3, 5573

Step-4: Factors of 16728

List of positive integer factors of 16728 that divides 16719 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 41, 51, 68, 82, 102, 123, 136, 164, 204, 246, 328, 408, 492, 697, 984, 1394, 2091, 2788, 4182, 5576, 8364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16719 and 16728. The biggest common factor number is the GCF number.
So the greatest common factor 16719 and 16728 is 3.

Also check out the Least Common Multiple of 16719 and 16728