What is the Greatest Common Factor of 19257 and 19269?

Greatest common factor (GCF) of 19257 and 19269 is 3.

GCF(19257,19269) = 3

We will now calculate the prime factors of 19257 and 19269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19257 and 19269.

How to find the GCF of 19257 and 19269?

We will first find the prime factorization of 19257 and 19269. After we will calculate the factors of 19257 and 19269 and find the biggest common factor number .

Step-1: Prime Factorization of 19257

Prime factors of 19257 are 3, 7, 131. Prime factorization of 19257 in exponential form is:

19257 = 3¹ × 7² × 131¹

Step-2: Prime Factorization of 19269

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

19269 = 3² × 2141¹

Step-3: Factors of 19257

List of positive integer factors of 19257 that divides 19257 without a remainder.

1, 3, 7, 21, 49, 131, 147, 393, 917, 2751, 6419

Step-4: Factors of 19269

List of positive integer factors of 19269 that divides 19257 without a remainder.

1, 3, 9, 2141, 6423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19257 and 19269. The biggest common factor number is the GCF number.
So the greatest common factor 19257 and 19269 is 3.

Also check out the Least Common Multiple of 19257 and 19269