What is the Greatest Common Factor of 16626 and 16643?

Greatest common factor (GCF) of 16626 and 16643 is 17.

GCF(16626,16643) = 17

We will now calculate the prime factors of 16626 and 16643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16626 and 16643.

How to find the GCF of 16626 and 16643?

We will first find the prime factorization of 16626 and 16643. After we will calculate the factors of 16626 and 16643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16643

Prime factors of 16643 are 11, 17, 89. Prime factorization of 16643 in exponential form is:

16643 = 11¹ × 17¹ × 89¹

Step-3: Factors of 16626

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

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

Step-4: Factors of 16643

List of positive integer factors of 16643 that divides 16626 without a remainder.

1, 11, 17, 89, 187, 979, 1513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16626 and 16643. The biggest common factor number is the GCF number.
So the greatest common factor 16626 and 16643 is 17.

Also check out the Least Common Multiple of 16626 and 16643