What is the Greatest Common Factor of 12414 and 12432?

Greatest common factor (GCF) of 12414 and 12432 is 6.

GCF(12414,12432) = 6

We will now calculate the prime factors of 12414 and 12432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12414 and 12432.

How to find the GCF of 12414 and 12432?

We will first find the prime factorization of 12414 and 12432. After we will calculate the factors of 12414 and 12432 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 12432

Prime factors of 12432 are 2, 3, 7, 37. Prime factorization of 12432 in exponential form is:

12432 = 2⁴ × 3¹ × 7¹ × 37¹

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 12432

List of positive integer factors of 12432 that divides 12414 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 56, 74, 84, 111, 112, 148, 168, 222, 259, 296, 336, 444, 518, 592, 777, 888, 1036, 1554, 1776, 2072, 3108, 4144, 6216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12414 and 12432. The biggest common factor number is the GCF number.
So the greatest common factor 12414 and 12432 is 6.

Also check out the Least Common Multiple of 12414 and 12432