What is the Greatest Common Factor of 28408 and 28416?

Greatest common factor (GCF) of 28408 and 28416 is 8.

GCF(28408,28416) = 8

We will now calculate the prime factors of 28408 and 28416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28408 and 28416.

How to find the GCF of 28408 and 28416?

We will first find the prime factorization of 28408 and 28416. After we will calculate the factors of 28408 and 28416 and find the biggest common factor number .

Step-1: Prime Factorization of 28408

Prime factors of 28408 are 2, 53, 67. Prime factorization of 28408 in exponential form is:

28408 = 2³ × 53¹ × 67¹

Step-2: 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-3: Factors of 28408

List of positive integer factors of 28408 that divides 28408 without a remainder.

1, 2, 4, 8, 53, 67, 106, 134, 212, 268, 424, 536, 3551, 7102, 14204

Step-4: Factors of 28416

List of positive integer factors of 28416 that divides 28408 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28408 and 28416. The biggest common factor number is the GCF number.
So the greatest common factor 28408 and 28416 is 8.

Also check out the Least Common Multiple of 28408 and 28416