What is the Greatest Common Factor of 28325 and 28336?

Greatest common factor (GCF) of 28325 and 28336 is 11.

GCF(28325,28336) = 11

We will now calculate the prime factors of 28325 and 28336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28325 and 28336.

How to find the GCF of 28325 and 28336?

We will first find the prime factorization of 28325 and 28336. After we will calculate the factors of 28325 and 28336 and find the biggest common factor number .

Step-1: Prime Factorization of 28325

Prime factors of 28325 are 5, 11, 103. Prime factorization of 28325 in exponential form is:

28325 = 5² × 11¹ × 103¹

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 28325

List of positive integer factors of 28325 that divides 28325 without a remainder.

1, 5, 11, 25, 55, 103, 275, 515, 1133, 2575, 5665

Step-4: Factors of 28336

List of positive integer factors of 28336 that divides 28325 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 28325 and 28336. The biggest common factor number is the GCF number.
So the greatest common factor 28325 and 28336 is 11.

Also check out the Least Common Multiple of 28325 and 28336