What is the Greatest Common Factor of 28330 and 28336?

Greatest common factor (GCF) of 28330 and 28336 is 2.

GCF(28330,28336) = 2

We will now calculate the prime factors of 28330 and 28336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28330 and 28336.

How to find the GCF of 28330 and 28336?

We will first find the prime factorization of 28330 and 28336. After we will calculate the factors of 28330 and 28336 and find the biggest common factor number .

Step-1: Prime Factorization of 28330

Prime factors of 28330 are 2, 5, 2833. Prime factorization of 28330 in exponential form is:

28330 = 2¹ × 5¹ × 2833¹

Step-2: 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-3: Factors of 28330

List of positive integer factors of 28330 that divides 28330 without a remainder.

1, 2, 5, 10, 2833, 5666, 14165

Step-4: Factors of 28336

List of positive integer factors of 28336 that divides 28330 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28330 and 28336. The biggest common factor number is the GCF number.
So the greatest common factor 28330 and 28336 is 2.

Also check out the Least Common Multiple of 28330 and 28336