What is the Greatest Common Factor of 16395 and 16407?

Greatest common factor (GCF) of 16395 and 16407 is 3.

GCF(16395,16407) = 3

We will now calculate the prime factors of 16395 and 16407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16395 and 16407.

How to find the GCF of 16395 and 16407?

We will first find the prime factorization of 16395 and 16407. After we will calculate the factors of 16395 and 16407 and find the biggest common factor number .

Step-1: Prime Factorization of 16395

Prime factors of 16395 are 3, 5, 1093. Prime factorization of 16395 in exponential form is:

16395 = 3¹ × 5¹ × 1093¹

Step-2: Prime Factorization of 16407

Prime factors of 16407 are 3, 1823. Prime factorization of 16407 in exponential form is:

16407 = 3² × 1823¹

Step-3: Factors of 16395

List of positive integer factors of 16395 that divides 16395 without a remainder.

1, 3, 5, 15, 1093, 3279, 5465

Step-4: Factors of 16407

List of positive integer factors of 16407 that divides 16395 without a remainder.

1, 3, 9, 1823, 5469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16395 and 16407. The biggest common factor number is the GCF number.
So the greatest common factor 16395 and 16407 is 3.

Also check out the Least Common Multiple of 16395 and 16407