What is the Greatest Common Factor of 16017 and 16032?

Greatest common factor (GCF) of 16017 and 16032 is 3.

GCF(16017,16032) = 3

We will now calculate the prime factors of 16017 and 16032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16017 and 16032.

How to find the GCF of 16017 and 16032?

We will first find the prime factorization of 16017 and 16032. After we will calculate the factors of 16017 and 16032 and find the biggest common factor number .

Step-1: Prime Factorization of 16017

Prime factors of 16017 are 3, 19, 281. Prime factorization of 16017 in exponential form is:

16017 = 3¹ × 19¹ × 281¹

Step-2: Prime Factorization of 16032

Prime factors of 16032 are 2, 3, 167. Prime factorization of 16032 in exponential form is:

16032 = 2⁵ × 3¹ × 167¹

Step-3: Factors of 16017

List of positive integer factors of 16017 that divides 16017 without a remainder.

1, 3, 19, 57, 281, 843, 5339

Step-4: Factors of 16032

List of positive integer factors of 16032 that divides 16017 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 5344, 8016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16017 and 16032. The biggest common factor number is the GCF number.
So the greatest common factor 16017 and 16032 is 3.

Also check out the Least Common Multiple of 16017 and 16032