What is the Greatest Common Factor of 16383 and 16392?

Greatest common factor (GCF) of 16383 and 16392 is 3.

GCF(16383,16392) = 3

We will now calculate the prime factors of 16383 and 16392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16383 and 16392.

How to find the GCF of 16383 and 16392?

We will first find the prime factorization of 16383 and 16392. After we will calculate the factors of 16383 and 16392 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 16392

Prime factors of 16392 are 2, 3, 683. Prime factorization of 16392 in exponential form is:

16392 = 2³ × 3¹ × 683¹

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 16392

List of positive integer factors of 16392 that divides 16383 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 683, 1366, 2049, 2732, 4098, 5464, 8196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16383 and 16392. The biggest common factor number is the GCF number.
So the greatest common factor 16383 and 16392 is 3.

Also check out the Least Common Multiple of 16383 and 16392