What is the Greatest Common Factor of 28321 and 28336?

Greatest common factor (GCF) of 28321 and 28336 is 1.

GCF(28321,28336) = 1

We will now calculate the prime factors of 28321 and 28336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28321 and 28336.

How to find the GCF of 28321 and 28336?

We will first find the prime factorization of 28321 and 28336. After we will calculate the factors of 28321 and 28336 and find the biggest common factor number .

Step-1: Prime Factorization of 28321

Prime factors of 28321 are 127, 223. Prime factorization of 28321 in exponential form is:

28321 = 127¹ × 223¹

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 28321

List of positive integer factors of 28321 that divides 28321 without a remainder.

1, 127, 223

Step-4: Factors of 28336

List of positive integer factors of 28336 that divides 28321 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 28321 and 28336. The biggest common factor number is the GCF number.
So the greatest common factor 28321 and 28336 is 1.

Also check out the Least Common Multiple of 28321 and 28336