What is the Greatest Common Factor of 16623 and 16638?

Greatest common factor (GCF) of 16623 and 16638 is 3.

GCF(16623,16638) = 3

We will now calculate the prime factors of 16623 and 16638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16623 and 16638.

How to find the GCF of 16623 and 16638?

We will first find the prime factorization of 16623 and 16638. After we will calculate the factors of 16623 and 16638 and find the biggest common factor number .

Step-1: Prime Factorization of 16623

Prime factors of 16623 are 3, 1847. Prime factorization of 16623 in exponential form is:

16623 = 3² × 1847¹

Step-2: Prime Factorization of 16638

Prime factors of 16638 are 2, 3, 47, 59. Prime factorization of 16638 in exponential form is:

16638 = 2¹ × 3¹ × 47¹ × 59¹

Step-3: Factors of 16623

List of positive integer factors of 16623 that divides 16623 without a remainder.

1, 3, 9, 1847, 5541

Step-4: Factors of 16638

List of positive integer factors of 16638 that divides 16623 without a remainder.

1, 2, 3, 6, 47, 59, 94, 118, 141, 177, 282, 354, 2773, 5546, 8319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16623 and 16638. The biggest common factor number is the GCF number.
So the greatest common factor 16623 and 16638 is 3.

Also check out the Least Common Multiple of 16623 and 16638