What is the Greatest Common Factor of 16383 and 16393?

Greatest common factor (GCF) of 16383 and 16393 is 1.

GCF(16383,16393) = 1

We will now calculate the prime factors of 16383 and 16393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16383 and 16393.

How to find the GCF of 16383 and 16393?

We will first find the prime factorization of 16383 and 16393. After we will calculate the factors of 16383 and 16393 and find the biggest common factor number .

Step-1: Prime Factorization of 16383

Prime factors of 16383 are 3, 43, 127. Prime factorization of 16383 in exponential form is:

16383 = 3¹ × 43¹ × 127¹

Step-2: Prime Factorization of 16393

Prime factors of 16393 are 13, 97. Prime factorization of 16393 in exponential form is:

16393 = 13² × 97¹

Step-3: Factors of 16383

List of positive integer factors of 16383 that divides 16383 without a remainder.

1, 3, 43, 127, 129, 381, 5461

Step-4: Factors of 16393

List of positive integer factors of 16393 that divides 16383 without a remainder.

1, 13, 97, 169, 1261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16383 and 16393. The biggest common factor number is the GCF number.
So the greatest common factor 16383 and 16393 is 1.

Also check out the Least Common Multiple of 16383 and 16393