What is the Greatest Common Factor of 12254 and 12258?

Greatest common factor (GCF) of 12254 and 12258 is 2.

GCF(12254,12258) = 2

We will now calculate the prime factors of 12254 and 12258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12254 and 12258.

How to find the GCF of 12254 and 12258?

We will first find the prime factorization of 12254 and 12258. After we will calculate the factors of 12254 and 12258 and find the biggest common factor number .

Step-1: Prime Factorization of 12254

Prime factors of 12254 are 2, 11, 557. Prime factorization of 12254 in exponential form is:

12254 = 2¹ × 11¹ × 557¹

Step-2: 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-3: Factors of 12254

List of positive integer factors of 12254 that divides 12254 without a remainder.

1, 2, 11, 22, 557, 1114, 6127

Step-4: Factors of 12258

List of positive integer factors of 12258 that divides 12254 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12254 and 12258. The biggest common factor number is the GCF number.
So the greatest common factor 12254 and 12258 is 2.

Also check out the Least Common Multiple of 12254 and 12258