What is the Greatest Common Factor of 16038 and 16049?

Greatest common factor (GCF) of 16038 and 16049 is 11.

GCF(16038,16049) = 11

We will now calculate the prime factors of 16038 and 16049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16038 and 16049.

How to find the GCF of 16038 and 16049?

We will first find the prime factorization of 16038 and 16049. After we will calculate the factors of 16038 and 16049 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 16049

Prime factors of 16049 are 11, 1459. Prime factorization of 16049 in exponential form is:

16049 = 11¹ × 1459¹

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 16049

List of positive integer factors of 16049 that divides 16038 without a remainder.

1, 11, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16038 and 16049. The biggest common factor number is the GCF number.
So the greatest common factor 16038 and 16049 is 11.

Also check out the Least Common Multiple of 16038 and 16049