What is the Greatest Common Factor of 16239 and 16254?

Greatest common factor (GCF) of 16239 and 16254 is 3.

GCF(16239,16254) = 3

We will now calculate the prime factors of 16239 and 16254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16239 and 16254.

How to find the GCF of 16239 and 16254?

We will first find the prime factorization of 16239 and 16254. After we will calculate the factors of 16239 and 16254 and find the biggest common factor number .

Step-1: Prime Factorization of 16239

Prime factors of 16239 are 3, 5413. Prime factorization of 16239 in exponential form is:

16239 = 3¹ × 5413¹

Step-2: Prime Factorization of 16254

Prime factors of 16254 are 2, 3, 7, 43. Prime factorization of 16254 in exponential form is:

16254 = 2¹ × 3³ × 7¹ × 43¹

Step-3: Factors of 16239

List of positive integer factors of 16239 that divides 16239 without a remainder.

1, 3, 5413

Step-4: Factors of 16254

List of positive integer factors of 16254 that divides 16239 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 43, 54, 63, 86, 126, 129, 189, 258, 301, 378, 387, 602, 774, 903, 1161, 1806, 2322, 2709, 5418, 8127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16239 and 16254. The biggest common factor number is the GCF number.
So the greatest common factor 16239 and 16254 is 3.

Also check out the Least Common Multiple of 16239 and 16254