What is the Greatest Common Factor of 19239 and 19251?

Greatest common factor (GCF) of 19239 and 19251 is 3.

GCF(19239,19251) = 3

We will now calculate the prime factors of 19239 and 19251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19239 and 19251.

How to find the GCF of 19239 and 19251?

We will first find the prime factorization of 19239 and 19251. After we will calculate the factors of 19239 and 19251 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 19251

Prime factors of 19251 are 3, 23, 31. Prime factorization of 19251 in exponential form is:

19251 = 3³ × 23¹ × 31¹

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 19251

List of positive integer factors of 19251 that divides 19239 without a remainder.

1, 3, 9, 23, 27, 31, 69, 93, 207, 279, 621, 713, 837, 2139, 6417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19239 and 19251. The biggest common factor number is the GCF number.
So the greatest common factor 19239 and 19251 is 3.

Also check out the Least Common Multiple of 19239 and 19251