What is the Greatest Common Factor of 28416 and 28426?

Greatest common factor (GCF) of 28416 and 28426 is 2.

GCF(28416,28426) = 2

We will now calculate the prime factors of 28416 and 28426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28416 and 28426.

How to find the GCF of 28416 and 28426?

We will first find the prime factorization of 28416 and 28426. After we will calculate the factors of 28416 and 28426 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 28426

Prime factors of 28426 are 2, 61, 233. Prime factorization of 28426 in exponential form is:

28426 = 2¹ × 61¹ × 233¹

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 28426

List of positive integer factors of 28426 that divides 28416 without a remainder.

1, 2, 61, 122, 233, 466, 14213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28416 and 28426. The biggest common factor number is the GCF number.
So the greatest common factor 28416 and 28426 is 2.

Also check out the Least Common Multiple of 28416 and 28426