What is the Greatest Common Factor of 28336 and 28352?

Greatest common factor (GCF) of 28336 and 28352 is 16.

GCF(28336,28352) = 16

We will now calculate the prime factors of 28336 and 28352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28336 and 28352.

How to find the GCF of 28336 and 28352?

We will first find the prime factorization of 28336 and 28352. After we will calculate the factors of 28336 and 28352 and find the biggest common factor number .

Step-1: Prime Factorization of 28336

Prime factors of 28336 are 2, 7, 11, 23. Prime factorization of 28336 in exponential form is:

28336 = 2⁴ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 28352

Prime factors of 28352 are 2, 443. Prime factorization of 28352 in exponential form is:

28352 = 2⁶ × 443¹

Step-3: Factors of 28336

List of positive integer factors of 28336 that divides 28336 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 23, 28, 44, 46, 56, 77, 88, 92, 112, 154, 161, 176, 184, 253, 308, 322, 368, 506, 616, 644, 1012, 1232, 1288, 1771, 2024, 2576, 3542, 4048, 7084, 14168

Step-4: Factors of 28352

List of positive integer factors of 28352 that divides 28336 without a remainder.

1, 2, 4, 8, 16, 32, 64, 443, 886, 1772, 3544, 7088, 14176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28336 and 28352. The biggest common factor number is the GCF number.
So the greatest common factor 28336 and 28352 is 16.

Also check out the Least Common Multiple of 28336 and 28352