What is the Greatest Common Factor of 16629 and 16635?

Greatest common factor (GCF) of 16629 and 16635 is 3.

GCF(16629,16635) = 3

We will now calculate the prime factors of 16629 and 16635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16629 and 16635.

How to find the GCF of 16629 and 16635?

We will first find the prime factorization of 16629 and 16635. After we will calculate the factors of 16629 and 16635 and find the biggest common factor number .

Step-1: Prime Factorization of 16629

Prime factors of 16629 are 3, 23, 241. Prime factorization of 16629 in exponential form is:

16629 = 3¹ × 23¹ × 241¹

Step-2: Prime Factorization of 16635

Prime factors of 16635 are 3, 5, 1109. Prime factorization of 16635 in exponential form is:

16635 = 3¹ × 5¹ × 1109¹

Step-3: Factors of 16629

List of positive integer factors of 16629 that divides 16629 without a remainder.

1, 3, 23, 69, 241, 723, 5543

Step-4: Factors of 16635

List of positive integer factors of 16635 that divides 16629 without a remainder.

1, 3, 5, 15, 1109, 3327, 5545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16629 and 16635. The biggest common factor number is the GCF number.
So the greatest common factor 16629 and 16635 is 3.

Also check out the Least Common Multiple of 16629 and 16635