What is the Greatest Common Factor of 19239 and 19248?

Greatest common factor (GCF) of 19239 and 19248 is 3.

GCF(19239,19248) = 3

We will now calculate the prime factors of 19239 and 19248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19239 and 19248.

How to find the GCF of 19239 and 19248?

We will first find the prime factorization of 19239 and 19248. After we will calculate the factors of 19239 and 19248 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 19248

Prime factors of 19248 are 2, 3, 401. Prime factorization of 19248 in exponential form is:

19248 = 2⁴ × 3¹ × 401¹

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 19248

List of positive integer factors of 19248 that divides 19239 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19239 and 19248. The biggest common factor number is the GCF number.
So the greatest common factor 19239 and 19248 is 3.

Also check out the Least Common Multiple of 19239 and 19248