What is the Greatest Common Factor of 12416 and 12432?

Greatest common factor (GCF) of 12416 and 12432 is 16.

GCF(12416,12432) = 16

We will now calculate the prime factors of 12416 and 12432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12416 and 12432.

How to find the GCF of 12416 and 12432?

We will first find the prime factorization of 12416 and 12432. After we will calculate the factors of 12416 and 12432 and find the biggest common factor number .

Step-1: Prime Factorization of 12416

Prime factors of 12416 are 2, 97. Prime factorization of 12416 in exponential form is:

12416 = 2⁷ × 97¹

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 12416

List of positive integer factors of 12416 that divides 12416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208

Step-4: Factors of 12432

List of positive integer factors of 12432 that divides 12416 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 12416 and 12432. The biggest common factor number is the GCF number.
So the greatest common factor 12416 and 12432 is 16.

Also check out the Least Common Multiple of 12416 and 12432