What is the Greatest Common Factor of 28416 and 28421?

Greatest common factor (GCF) of 28416 and 28421 is 1.

GCF(28416,28421) = 1

We will now calculate the prime factors of 28416 and 28421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28416 and 28421.

How to find the GCF of 28416 and 28421?

We will first find the prime factorization of 28416 and 28421. After we will calculate the factors of 28416 and 28421 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 28421

Prime factors of 28421 are 97, 293. Prime factorization of 28421 in exponential form is:

28421 = 97¹ × 293¹

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 28421

List of positive integer factors of 28421 that divides 28416 without a remainder.

1, 97, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28416 and 28421. The biggest common factor number is the GCF number.
So the greatest common factor 28416 and 28421 is 1.

Also check out the Least Common Multiple of 28416 and 28421