What is the Greatest Common Factor of 16024 and 16038?

Greatest common factor (GCF) of 16024 and 16038 is 2.

GCF(16024,16038) = 2

We will now calculate the prime factors of 16024 and 16038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16024 and 16038.

How to find the GCF of 16024 and 16038?

We will first find the prime factorization of 16024 and 16038. After we will calculate the factors of 16024 and 16038 and find the biggest common factor number .

Step-1: Prime Factorization of 16024

Prime factors of 16024 are 2, 2003. Prime factorization of 16024 in exponential form is:

16024 = 2³ × 2003¹

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 16024

List of positive integer factors of 16024 that divides 16024 without a remainder.

1, 2, 4, 8, 2003, 4006, 8012

Step-4: Factors of 16038

List of positive integer factors of 16038 that divides 16024 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 16024 and 16038. The biggest common factor number is the GCF number.
So the greatest common factor 16024 and 16038 is 2.

Also check out the Least Common Multiple of 16024 and 16038