What is the Greatest Common Factor of 12432 and 12444?

Greatest common factor (GCF) of 12432 and 12444 is 12.

GCF(12432,12444) = 12

We will now calculate the prime factors of 12432 and 12444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12432 and 12444.

How to find the GCF of 12432 and 12444?

We will first find the prime factorization of 12432 and 12444. After we will calculate the factors of 12432 and 12444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12444

Prime factors of 12444 are 2, 3, 17, 61. Prime factorization of 12444 in exponential form is:

12444 = 2² × 3¹ × 17¹ × 61¹

Step-3: Factors of 12432

List of positive integer factors of 12432 that divides 12432 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

Step-4: Factors of 12444

List of positive integer factors of 12444 that divides 12432 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 61, 68, 102, 122, 183, 204, 244, 366, 732, 1037, 2074, 3111, 4148, 6222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12432 and 12444. The biggest common factor number is the GCF number.
So the greatest common factor 12432 and 12444 is 12.

Also check out the Least Common Multiple of 12432 and 12444