What is the Greatest Common Factor of 16038 and 16054?

Greatest common factor (GCF) of 16038 and 16054 is 2.

GCF(16038,16054) = 2

We will now calculate the prime factors of 16038 and 16054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16038 and 16054.

How to find the GCF of 16038 and 16054?

We will first find the prime factorization of 16038 and 16054. After we will calculate the factors of 16038 and 16054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16054

Prime factors of 16054 are 2, 23, 349. Prime factorization of 16054 in exponential form is:

16054 = 2¹ × 23¹ × 349¹

Step-3: Factors of 16038

List of positive integer factors of 16038 that divides 16038 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

Step-4: Factors of 16054

List of positive integer factors of 16054 that divides 16038 without a remainder.

1, 2, 23, 46, 349, 698, 8027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16038 and 16054. The biggest common factor number is the GCF number.
So the greatest common factor 16038 and 16054 is 2.

Also check out the Least Common Multiple of 16038 and 16054