What is the Greatest Common Factor of 16032 and 16038?

Greatest common factor (GCF) of 16032 and 16038 is 6.

GCF(16032,16038) = 6

We will now calculate the prime factors of 16032 and 16038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16032 and 16038.

How to find the GCF of 16032 and 16038?

We will first find the prime factorization of 16032 and 16038. After we will calculate the factors of 16032 and 16038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16038

Prime factors of 16038 are 2, 3, 11. Prime factorization of 16038 in exponential form is:

16038 = 2¹ × 3⁶ × 11¹

Step-3: Factors of 16032

List of positive integer factors of 16032 that divides 16032 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

Step-4: Factors of 16038

List of positive integer factors of 16038 that divides 16032 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 729, 891, 1458, 1782, 2673, 5346, 8019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16032 and 16038. The biggest common factor number is the GCF number.
So the greatest common factor 16032 and 16038 is 6.

Also check out the Least Common Multiple of 16032 and 16038