What is the Greatest Common Factor of 19239 and 19253?

Greatest common factor (GCF) of 19239 and 19253 is 1.

GCF(19239,19253) = 1

We will now calculate the prime factors of 19239 and 19253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19239 and 19253.

How to find the GCF of 19239 and 19253?

We will first find the prime factorization of 19239 and 19253. After we will calculate the factors of 19239 and 19253 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 19253

Prime factors of 19253 are 13, 1481. Prime factorization of 19253 in exponential form is:

19253 = 13¹ × 1481¹

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 19253

List of positive integer factors of 19253 that divides 19239 without a remainder.

1, 13, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19239 and 19253. The biggest common factor number is the GCF number.
So the greatest common factor 19239 and 19253 is 1.

Also check out the Least Common Multiple of 19239 and 19253