What is the Greatest Common Factor of 19239 and 19254?

Greatest common factor (GCF) of 19239 and 19254 is 3.

GCF(19239,19254) = 3

We will now calculate the prime factors of 19239 and 19254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19239 and 19254.

How to find the GCF of 19239 and 19254?

We will first find the prime factorization of 19239 and 19254. After we will calculate the factors of 19239 and 19254 and find the biggest common factor number .

Step-1: Prime Factorization of 19239

Prime factors of 19239 are 3, 11, 53. Prime factorization of 19239 in exponential form is:

19239 = 3¹ × 11² × 53¹

Step-2: Prime Factorization of 19254

Prime factors of 19254 are 2, 3, 3209. Prime factorization of 19254 in exponential form is:

19254 = 2¹ × 3¹ × 3209¹

Step-3: Factors of 19239

List of positive integer factors of 19239 that divides 19239 without a remainder.

1, 3, 11, 33, 53, 121, 159, 363, 583, 1749, 6413

Step-4: Factors of 19254

List of positive integer factors of 19254 that divides 19239 without a remainder.

1, 2, 3, 6, 3209, 6418, 9627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19239 and 19254. The biggest common factor number is the GCF number.
So the greatest common factor 19239 and 19254 is 3.

Also check out the Least Common Multiple of 19239 and 19254