What is the Greatest Common Factor of 16029 and 16044?

Greatest common factor (GCF) of 16029 and 16044 is 3.

GCF(16029,16044) = 3

We will now calculate the prime factors of 16029 and 16044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16029 and 16044.

How to find the GCF of 16029 and 16044?

We will first find the prime factorization of 16029 and 16044. After we will calculate the factors of 16029 and 16044 and find the biggest common factor number .

Step-1: Prime Factorization of 16029

Prime factors of 16029 are 3, 13, 137. Prime factorization of 16029 in exponential form is:

16029 = 3² × 13¹ × 137¹

Step-2: Prime Factorization of 16044

Prime factors of 16044 are 2, 3, 7, 191. Prime factorization of 16044 in exponential form is:

16044 = 2² × 3¹ × 7¹ × 191¹

Step-3: Factors of 16029

List of positive integer factors of 16029 that divides 16029 without a remainder.

1, 3, 9, 13, 39, 117, 137, 411, 1233, 1781, 5343

Step-4: Factors of 16044

List of positive integer factors of 16044 that divides 16029 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 191, 382, 573, 764, 1146, 1337, 2292, 2674, 4011, 5348, 8022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16029 and 16044. The biggest common factor number is the GCF number.
So the greatest common factor 16029 and 16044 is 3.

Also check out the Least Common Multiple of 16029 and 16044