What is the Greatest Common Factor of 12414 and 12422?

Greatest common factor (GCF) of 12414 and 12422 is 2.

GCF(12414,12422) = 2

We will now calculate the prime factors of 12414 and 12422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12414 and 12422.

How to find the GCF of 12414 and 12422?

We will first find the prime factorization of 12414 and 12422. After we will calculate the factors of 12414 and 12422 and find the biggest common factor number .

Step-1: Prime Factorization of 12414

Prime factors of 12414 are 2, 3, 2069. Prime factorization of 12414 in exponential form is:

12414 = 2¹ × 3¹ × 2069¹

Step-2: Prime Factorization of 12422

Prime factors of 12422 are 2, 6211. Prime factorization of 12422 in exponential form is:

12422 = 2¹ × 6211¹

Step-3: Factors of 12414

List of positive integer factors of 12414 that divides 12414 without a remainder.

1, 2, 3, 6, 2069, 4138, 6207

Step-4: Factors of 12422

List of positive integer factors of 12422 that divides 12414 without a remainder.

1, 2, 6211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12414 and 12422. The biggest common factor number is the GCF number.
So the greatest common factor 12414 and 12422 is 2.

Also check out the Least Common Multiple of 12414 and 12422