What is the Greatest Common Factor of 16026 and 16044?

Greatest common factor (GCF) of 16026 and 16044 is 6.

GCF(16026,16044) = 6

We will now calculate the prime factors of 16026 and 16044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16026 and 16044.

How to find the GCF of 16026 and 16044?

We will first find the prime factorization of 16026 and 16044. After we will calculate the factors of 16026 and 16044 and find the biggest common factor number .

Step-1: Prime Factorization of 16026

Prime factors of 16026 are 2, 3, 2671. Prime factorization of 16026 in exponential form is:

16026 = 2¹ × 3¹ × 2671¹

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 16026

List of positive integer factors of 16026 that divides 16026 without a remainder.

1, 2, 3, 6, 2671, 5342, 8013

Step-4: Factors of 16044

List of positive integer factors of 16044 that divides 16026 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 16026 and 16044. The biggest common factor number is the GCF number.
So the greatest common factor 16026 and 16044 is 6.

Also check out the Least Common Multiple of 16026 and 16044