What is the Greatest Common Factor of 19287 and 19293?

Greatest common factor (GCF) of 19287 and 19293 is 3.

GCF(19287,19293) = 3

We will now calculate the prime factors of 19287 and 19293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19287 and 19293.

How to find the GCF of 19287 and 19293?

We will first find the prime factorization of 19287 and 19293. After we will calculate the factors of 19287 and 19293 and find the biggest common factor number .

Step-1: Prime Factorization of 19287

Prime factors of 19287 are 3, 2143. Prime factorization of 19287 in exponential form is:

19287 = 3² × 2143¹

Step-2: Prime Factorization of 19293

Prime factors of 19293 are 3, 59, 109. Prime factorization of 19293 in exponential form is:

19293 = 3¹ × 59¹ × 109¹

Step-3: Factors of 19287

List of positive integer factors of 19287 that divides 19287 without a remainder.

1, 3, 9, 2143, 6429

Step-4: Factors of 19293

List of positive integer factors of 19293 that divides 19287 without a remainder.

1, 3, 59, 109, 177, 327, 6431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19287 and 19293. The biggest common factor number is the GCF number.
So the greatest common factor 19287 and 19293 is 3.

Also check out the Least Common Multiple of 19287 and 19293