What is the Greatest Common Factor of 12255 and 12270?

Greatest common factor (GCF) of 12255 and 12270 is 15.

GCF(12255,12270) = 15

We will now calculate the prime factors of 12255 and 12270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12255 and 12270.

How to find the GCF of 12255 and 12270?

We will first find the prime factorization of 12255 and 12270. After we will calculate the factors of 12255 and 12270 and find the biggest common factor number .

Step-1: Prime Factorization of 12255

Prime factors of 12255 are 3, 5, 19, 43. Prime factorization of 12255 in exponential form is:

12255 = 3¹ × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 12270

Prime factors of 12270 are 2, 3, 5, 409. Prime factorization of 12270 in exponential form is:

12270 = 2¹ × 3¹ × 5¹ × 409¹

Step-3: Factors of 12255

List of positive integer factors of 12255 that divides 12255 without a remainder.

1, 3, 5, 15, 19, 43, 57, 95, 129, 215, 285, 645, 817, 2451, 4085

Step-4: Factors of 12270

List of positive integer factors of 12270 that divides 12255 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 409, 818, 1227, 2045, 2454, 4090, 6135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12255 and 12270. The biggest common factor number is the GCF number.
So the greatest common factor 12255 and 12270 is 15.

Also check out the Least Common Multiple of 12255 and 12270