What is the Greatest Common Factor of 16038 and 16058?

Greatest common factor (GCF) of 16038 and 16058 is 2.

GCF(16038,16058) = 2

We will now calculate the prime factors of 16038 and 16058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16038 and 16058.

How to find the GCF of 16038 and 16058?

We will first find the prime factorization of 16038 and 16058. After we will calculate the factors of 16038 and 16058 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 16058

Prime factors of 16058 are 2, 7, 31, 37. Prime factorization of 16058 in exponential form is:

16058 = 2¹ × 7¹ × 31¹ × 37¹

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 16058

List of positive integer factors of 16058 that divides 16038 without a remainder.

1, 2, 7, 14, 31, 37, 62, 74, 217, 259, 434, 518, 1147, 2294, 8029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16038 and 16058. The biggest common factor number is the GCF number.
So the greatest common factor 16038 and 16058 is 2.

Also check out the Least Common Multiple of 16038 and 16058