What is the Greatest Common Factor of 28416 and 28428?

Greatest common factor (GCF) of 28416 and 28428 is 12.

GCF(28416,28428) = 12

We will now calculate the prime factors of 28416 and 28428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28416 and 28428.

How to find the GCF of 28416 and 28428?

We will first find the prime factorization of 28416 and 28428. After we will calculate the factors of 28416 and 28428 and find the biggest common factor number .

Step-1: Prime Factorization of 28416

Prime factors of 28416 are 2, 3, 37. Prime factorization of 28416 in exponential form is:

28416 = 2⁸ × 3¹ × 37¹

Step-2: Prime Factorization of 28428

Prime factors of 28428 are 2, 3, 23, 103. Prime factorization of 28428 in exponential form is:

28428 = 2² × 3¹ × 23¹ × 103¹

Step-3: Factors of 28416

List of positive integer factors of 28416 that divides 28416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 128, 148, 192, 222, 256, 296, 384, 444, 592, 768, 888, 1184, 1776, 2368, 3552, 4736, 7104, 9472, 14208

Step-4: Factors of 28428

List of positive integer factors of 28428 that divides 28416 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 103, 138, 206, 276, 309, 412, 618, 1236, 2369, 4738, 7107, 9476, 14214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28416 and 28428. The biggest common factor number is the GCF number.
So the greatest common factor 28416 and 28428 is 12.

Also check out the Least Common Multiple of 28416 and 28428