What is the Greatest Common Factor of 28336 and 28347?

Greatest common factor (GCF) of 28336 and 28347 is 11.

GCF(28336,28347) = 11

We will now calculate the prime factors of 28336 and 28347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28336 and 28347.

How to find the GCF of 28336 and 28347?

We will first find the prime factorization of 28336 and 28347. After we will calculate the factors of 28336 and 28347 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 28347

Prime factors of 28347 are 3, 11, 859. Prime factorization of 28347 in exponential form is:

28347 = 3¹ × 11¹ × 859¹

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 28347

List of positive integer factors of 28347 that divides 28336 without a remainder.

1, 3, 11, 33, 859, 2577, 9449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28336 and 28347. The biggest common factor number is the GCF number.
So the greatest common factor 28336 and 28347 is 11.

Also check out the Least Common Multiple of 28336 and 28347