What is the Greatest Common Factor of 16728 and 16745?

Greatest common factor (GCF) of 16728 and 16745 is 17.

GCF(16728,16745) = 17

We will now calculate the prime factors of 16728 and 16745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16728 and 16745.

How to find the GCF of 16728 and 16745?

We will first find the prime factorization of 16728 and 16745. After we will calculate the factors of 16728 and 16745 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16745

Prime factors of 16745 are 5, 17, 197. Prime factorization of 16745 in exponential form is:

16745 = 5¹ × 17¹ × 197¹

Step-3: Factors of 16728

List of positive integer factors of 16728 that divides 16728 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

Step-4: Factors of 16745

List of positive integer factors of 16745 that divides 16728 without a remainder.

1, 5, 17, 85, 197, 985, 3349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16728 and 16745. The biggest common factor number is the GCF number.
So the greatest common factor 16728 and 16745 is 17.

Also check out the Least Common Multiple of 16728 and 16745