What is the Greatest Common Factor of 28416 and 28420?

Greatest common factor (GCF) of 28416 and 28420 is 4.

GCF(28416,28420) = 4

We will now calculate the prime factors of 28416 and 28420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28416 and 28420.

How to find the GCF of 28416 and 28420?

We will first find the prime factorization of 28416 and 28420. After we will calculate the factors of 28416 and 28420 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 28420

Prime factors of 28420 are 2, 5, 7, 29. Prime factorization of 28420 in exponential form is:

28420 = 2² × 5¹ × 7² × 29¹

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 28420

List of positive integer factors of 28420 that divides 28416 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 49, 58, 70, 98, 116, 140, 145, 196, 203, 245, 290, 406, 490, 580, 812, 980, 1015, 1421, 2030, 2842, 4060, 5684, 7105, 14210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28416 and 28420. The biggest common factor number is the GCF number.
So the greatest common factor 28416 and 28420 is 4.

Also check out the Least Common Multiple of 28416 and 28420