What is the Greatest Common Factor of 16038 and 16053?

Greatest common factor (GCF) of 16038 and 16053 is 3.

GCF(16038,16053) = 3

We will now calculate the prime factors of 16038 and 16053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16038 and 16053.

How to find the GCF of 16038 and 16053?

We will first find the prime factorization of 16038 and 16053. After we will calculate the factors of 16038 and 16053 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 16053

Prime factors of 16053 are 3, 5351. Prime factorization of 16053 in exponential form is:

16053 = 3¹ × 5351¹

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 16053

List of positive integer factors of 16053 that divides 16038 without a remainder.

1, 3, 5351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16038 and 16053. The biggest common factor number is the GCF number.
So the greatest common factor 16038 and 16053 is 3.

Also check out the Least Common Multiple of 16038 and 16053