What is the Greatest Common Factor of 16606 and 16626?

Greatest common factor (GCF) of 16606 and 16626 is 2.

GCF(16606,16626) = 2

We will now calculate the prime factors of 16606 and 16626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16606 and 16626.

How to find the GCF of 16606 and 16626?

We will first find the prime factorization of 16606 and 16626. After we will calculate the factors of 16606 and 16626 and find the biggest common factor number .

Step-1: Prime Factorization of 16606

Prime factors of 16606 are 2, 19, 23. Prime factorization of 16606 in exponential form is:

16606 = 2¹ × 19² × 23¹

Step-2: Prime Factorization of 16626

Prime factors of 16626 are 2, 3, 17, 163. Prime factorization of 16626 in exponential form is:

16626 = 2¹ × 3¹ × 17¹ × 163¹

Step-3: Factors of 16606

List of positive integer factors of 16606 that divides 16606 without a remainder.

1, 2, 19, 23, 38, 46, 361, 437, 722, 874, 8303

Step-4: Factors of 16626

List of positive integer factors of 16626 that divides 16606 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 163, 326, 489, 978, 2771, 5542, 8313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16606 and 16626. The biggest common factor number is the GCF number.
So the greatest common factor 16606 and 16626 is 2.

Also check out the Least Common Multiple of 16606 and 16626