What is the Greatest Common Factor of 19275 and 19290?

Greatest common factor (GCF) of 19275 and 19290 is 15.

GCF(19275,19290) = 15

We will now calculate the prime factors of 19275 and 19290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19275 and 19290.

How to find the GCF of 19275 and 19290?

We will first find the prime factorization of 19275 and 19290. After we will calculate the factors of 19275 and 19290 and find the biggest common factor number .

Step-1: Prime Factorization of 19275

Prime factors of 19275 are 3, 5, 257. Prime factorization of 19275 in exponential form is:

19275 = 3¹ × 5² × 257¹

Step-2: Prime Factorization of 19290

Prime factors of 19290 are 2, 3, 5, 643. Prime factorization of 19290 in exponential form is:

19290 = 2¹ × 3¹ × 5¹ × 643¹

Step-3: Factors of 19275

List of positive integer factors of 19275 that divides 19275 without a remainder.

1, 3, 5, 15, 25, 75, 257, 771, 1285, 3855, 6425

Step-4: Factors of 19290

List of positive integer factors of 19290 that divides 19275 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 643, 1286, 1929, 3215, 3858, 6430, 9645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19275 and 19290. The biggest common factor number is the GCF number.
So the greatest common factor 19275 and 19290 is 15.

Also check out the Least Common Multiple of 19275 and 19290