What is the Greatest Common Factor of 12258 and 12270?

Greatest common factor (GCF) of 12258 and 12270 is 6.

GCF(12258,12270) = 6

We will now calculate the prime factors of 12258 and 12270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12258 and 12270.

How to find the GCF of 12258 and 12270?

We will first find the prime factorization of 12258 and 12270. After we will calculate the factors of 12258 and 12270 and find the biggest common factor number .

Step-1: Prime Factorization of 12258

Prime factors of 12258 are 2, 3, 227. Prime factorization of 12258 in exponential form is:

12258 = 2¹ × 3³ × 227¹

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 12258

List of positive integer factors of 12258 that divides 12258 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 227, 454, 681, 1362, 2043, 4086, 6129

Step-4: Factors of 12270

List of positive integer factors of 12270 that divides 12258 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 12258 and 12270. The biggest common factor number is the GCF number.
So the greatest common factor 12258 and 12270 is 6.

Also check out the Least Common Multiple of 12258 and 12270