What is the Greatest Common Factor of 16027 and 16038?

Greatest common factor (GCF) of 16027 and 16038 is 11.

GCF(16027,16038) = 11

We will now calculate the prime factors of 16027 and 16038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16027 and 16038.

How to find the GCF of 16027 and 16038?

We will first find the prime factorization of 16027 and 16038. After we will calculate the factors of 16027 and 16038 and find the biggest common factor number .

Step-1: Prime Factorization of 16027

Prime factors of 16027 are 11, 31, 47. Prime factorization of 16027 in exponential form is:

16027 = 11¹ × 31¹ × 47¹

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 16027

List of positive integer factors of 16027 that divides 16027 without a remainder.

1, 11, 31, 47, 341, 517, 1457

Step-4: Factors of 16038

List of positive integer factors of 16038 that divides 16027 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 16027 and 16038. The biggest common factor number is the GCF number.
So the greatest common factor 16027 and 16038 is 11.

Also check out the Least Common Multiple of 16027 and 16038