What is the Greatest Common Factor of 19665 and 19683?

Greatest common factor (GCF) of 19665 and 19683 is 9.

GCF(19665,19683) = 9

We will now calculate the prime factors of 19665 and 19683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19665 and 19683.

How to find the GCF of 19665 and 19683?

We will first find the prime factorization of 19665 and 19683. After we will calculate the factors of 19665 and 19683 and find the biggest common factor number .

Step-1: Prime Factorization of 19665

Prime factors of 19665 are 3, 5, 19, 23. Prime factorization of 19665 in exponential form is:

19665 = 3² × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 19683

Prime factors of 19683 are 3. Prime factorization of 19683 in exponential form is:

19683 = 3⁹

Step-3: Factors of 19665

List of positive integer factors of 19665 that divides 19665 without a remainder.

1, 3, 5, 9, 15, 19, 23, 45, 57, 69, 95, 115, 171, 207, 285, 345, 437, 855, 1035, 1311, 2185, 3933, 6555

Step-4: Factors of 19683

List of positive integer factors of 19683 that divides 19665 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187, 6561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19665 and 19683. The biggest common factor number is the GCF number.
So the greatest common factor 19665 and 19683 is 9.

Also check out the Least Common Multiple of 19665 and 19683