What is the Greatest Common Factor of 16014 and 16032?

Greatest common factor (GCF) of 16014 and 16032 is 6.

GCF(16014,16032) = 6

We will now calculate the prime factors of 16014 and 16032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16014 and 16032.

How to find the GCF of 16014 and 16032?

We will first find the prime factorization of 16014 and 16032. After we will calculate the factors of 16014 and 16032 and find the biggest common factor number .

Step-1: Prime Factorization of 16014

Prime factors of 16014 are 2, 3, 17, 157. Prime factorization of 16014 in exponential form is:

16014 = 2¹ × 3¹ × 17¹ × 157¹

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 16014

List of positive integer factors of 16014 that divides 16014 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 157, 314, 471, 942, 2669, 5338, 8007

Step-4: Factors of 16032

List of positive integer factors of 16032 that divides 16014 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 16014 and 16032. The biggest common factor number is the GCF number.
So the greatest common factor 16014 and 16032 is 6.

Also check out the Least Common Multiple of 16014 and 16032