What is the Greatest Common Factor of 12246 and 12254?

Greatest common factor (GCF) of 12246 and 12254 is 2.

GCF(12246,12254) = 2

We will now calculate the prime factors of 12246 and 12254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12246 and 12254.

How to find the GCF of 12246 and 12254?

We will first find the prime factorization of 12246 and 12254. After we will calculate the factors of 12246 and 12254 and find the biggest common factor number .

Step-1: Prime Factorization of 12246

Prime factors of 12246 are 2, 3, 13, 157. Prime factorization of 12246 in exponential form is:

12246 = 2¹ × 3¹ × 13¹ × 157¹

Step-2: 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-3: Factors of 12246

List of positive integer factors of 12246 that divides 12246 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 157, 314, 471, 942, 2041, 4082, 6123

Step-4: Factors of 12254

List of positive integer factors of 12254 that divides 12246 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12246 and 12254. The biggest common factor number is the GCF number.
So the greatest common factor 12246 and 12254 is 2.

Also check out the Least Common Multiple of 12246 and 12254