What is the Greatest Common Factor of 12246 and 12260?

Greatest common factor (GCF) of 12246 and 12260 is 2.

GCF(12246,12260) = 2

We will now calculate the prime factors of 12246 and 12260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12246 and 12260.

How to find the GCF of 12246 and 12260?

We will first find the prime factorization of 12246 and 12260. After we will calculate the factors of 12246 and 12260 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 12260

Prime factors of 12260 are 2, 5, 613. Prime factorization of 12260 in exponential form is:

12260 = 2² × 5¹ × 613¹

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 12260

List of positive integer factors of 12260 that divides 12246 without a remainder.

1, 2, 4, 5, 10, 20, 613, 1226, 2452, 3065, 6130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12246 and 12260. The biggest common factor number is the GCF number.
So the greatest common factor 12246 and 12260 is 2.

Also check out the Least Common Multiple of 12246 and 12260