What is the Greatest Common Factor of 16389 and 16401?

Greatest common factor (GCF) of 16389 and 16401 is 3.

GCF(16389,16401) = 3

We will now calculate the prime factors of 16389 and 16401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16389 and 16401.

How to find the GCF of 16389 and 16401?

We will first find the prime factorization of 16389 and 16401. After we will calculate the factors of 16389 and 16401 and find the biggest common factor number .

Step-1: Prime Factorization of 16389

Prime factors of 16389 are 3, 607. Prime factorization of 16389 in exponential form is:

16389 = 3³ × 607¹

Step-2: Prime Factorization of 16401

Prime factors of 16401 are 3, 7, 11, 71. Prime factorization of 16401 in exponential form is:

16401 = 3¹ × 7¹ × 11¹ × 71¹

Step-3: Factors of 16389

List of positive integer factors of 16389 that divides 16389 without a remainder.

1, 3, 9, 27, 607, 1821, 5463

Step-4: Factors of 16401

List of positive integer factors of 16401 that divides 16389 without a remainder.

1, 3, 7, 11, 21, 33, 71, 77, 213, 231, 497, 781, 1491, 2343, 5467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16389 and 16401. The biggest common factor number is the GCF number.
So the greatest common factor 16389 and 16401 is 3.

Also check out the Least Common Multiple of 16389 and 16401