What is the Greatest Common Factor of 28336 and 28350?

Greatest common factor (GCF) of 28336 and 28350 is 14.

GCF(28336,28350) = 14

We will now calculate the prime factors of 28336 and 28350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28336 and 28350.

How to find the GCF of 28336 and 28350?

We will first find the prime factorization of 28336 and 28350. After we will calculate the factors of 28336 and 28350 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 28350

Prime factors of 28350 are 2, 3, 5, 7. Prime factorization of 28350 in exponential form is:

28350 = 2¹ × 3⁴ × 5² × 7¹

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 28350

List of positive integer factors of 28350 that divides 28336 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 50, 54, 63, 70, 75, 81, 90, 105, 126, 135, 150, 162, 175, 189, 210, 225, 270, 315, 350, 378, 405, 450, 525, 567, 630, 675, 810, 945, 1050, 1134, 1350, 1575, 1890, 2025, 2835, 3150, 4050, 4725, 5670, 9450, 14175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28336 and 28350. The biggest common factor number is the GCF number.
So the greatest common factor 28336 and 28350 is 14.

Also check out the Least Common Multiple of 28336 and 28350