What is the Greatest Common Factor of 16609 and 16626?

Greatest common factor (GCF) of 16609 and 16626 is 17.

GCF(16609,16626) = 17

We will now calculate the prime factors of 16609 and 16626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16609 and 16626.

How to find the GCF of 16609 and 16626?

We will first find the prime factorization of 16609 and 16626. After we will calculate the factors of 16609 and 16626 and find the biggest common factor number .

Step-1: Prime Factorization of 16609

Prime factors of 16609 are 17, 977. Prime factorization of 16609 in exponential form is:

16609 = 17¹ × 977¹

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 16609

List of positive integer factors of 16609 that divides 16609 without a remainder.

1, 17, 977

Step-4: Factors of 16626

List of positive integer factors of 16626 that divides 16609 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 16609 and 16626. The biggest common factor number is the GCF number.
So the greatest common factor 16609 and 16626 is 17.

Also check out the Least Common Multiple of 16609 and 16626