What is the Greatest Common Factor of 12432 and 12448?

Greatest common factor (GCF) of 12432 and 12448 is 16.

GCF(12432,12448) = 16

We will now calculate the prime factors of 12432 and 12448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12432 and 12448.

How to find the GCF of 12432 and 12448?

We will first find the prime factorization of 12432 and 12448. After we will calculate the factors of 12432 and 12448 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 12448

Prime factors of 12448 are 2, 389. Prime factorization of 12448 in exponential form is:

12448 = 2⁵ × 389¹

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 12448

List of positive integer factors of 12448 that divides 12432 without a remainder.

1, 2, 4, 8, 16, 32, 389, 778, 1556, 3112, 6224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12432 and 12448. The biggest common factor number is the GCF number.
So the greatest common factor 12432 and 12448 is 16.

Also check out the Least Common Multiple of 12432 and 12448