What is the Greatest Common Factor of 19269 and 19287?

Greatest common factor (GCF) of 19269 and 19287 is 9.

GCF(19269,19287) = 9

We will now calculate the prime factors of 19269 and 19287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19269 and 19287.

How to find the GCF of 19269 and 19287?

We will first find the prime factorization of 19269 and 19287. After we will calculate the factors of 19269 and 19287 and find the biggest common factor number .

Step-1: Prime Factorization of 19269

Prime factors of 19269 are 3, 2141. Prime factorization of 19269 in exponential form is:

19269 = 3² × 2141¹

Step-2: Prime Factorization of 19287

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

19287 = 3² × 2143¹

Step-3: Factors of 19269

List of positive integer factors of 19269 that divides 19269 without a remainder.

1, 3, 9, 2141, 6423

Step-4: Factors of 19287

List of positive integer factors of 19287 that divides 19269 without a remainder.

1, 3, 9, 2143, 6429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19269 and 19287. The biggest common factor number is the GCF number.
So the greatest common factor 19269 and 19287 is 9.

Also check out the Least Common Multiple of 19269 and 19287