What is the Greatest Common Factor of 12414 and 12423?

Greatest common factor (GCF) of 12414 and 12423 is 3.

GCF(12414,12423) = 3

We will now calculate the prime factors of 12414 and 12423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12414 and 12423.

How to find the GCF of 12414 and 12423?

We will first find the prime factorization of 12414 and 12423. After we will calculate the factors of 12414 and 12423 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 12423

Prime factors of 12423 are 3, 41, 101. Prime factorization of 12423 in exponential form is:

12423 = 3¹ × 41¹ × 101¹

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 12423

List of positive integer factors of 12423 that divides 12414 without a remainder.

1, 3, 41, 101, 123, 303, 4141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12414 and 12423. The biggest common factor number is the GCF number.
So the greatest common factor 12414 and 12423 is 3.

Also check out the Least Common Multiple of 12414 and 12423