What is the Greatest Common Factor of 16344 and 16359?

Greatest common factor (GCF) of 16344 and 16359 is 3.

GCF(16344,16359) = 3

We will now calculate the prime factors of 16344 and 16359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16344 and 16359.

How to find the GCF of 16344 and 16359?

We will first find the prime factorization of 16344 and 16359. After we will calculate the factors of 16344 and 16359 and find the biggest common factor number .

Step-1: Prime Factorization of 16344

Prime factors of 16344 are 2, 3, 227. Prime factorization of 16344 in exponential form is:

16344 = 2³ × 3² × 227¹

Step-2: Prime Factorization of 16359

Prime factors of 16359 are 3, 7, 19, 41. Prime factorization of 16359 in exponential form is:

16359 = 3¹ × 7¹ × 19¹ × 41¹

Step-3: Factors of 16344

List of positive integer factors of 16344 that divides 16344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 4086, 5448, 8172

Step-4: Factors of 16359

List of positive integer factors of 16359 that divides 16344 without a remainder.

1, 3, 7, 19, 21, 41, 57, 123, 133, 287, 399, 779, 861, 2337, 5453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16344 and 16359. The biggest common factor number is the GCF number.
So the greatest common factor 16344 and 16359 is 3.

Also check out the Least Common Multiple of 16344 and 16359