What is the Greatest Common Factor of 28016 and 28033?

Greatest common factor (GCF) of 28016 and 28033 is 17.

GCF(28016,28033) = 17

We will now calculate the prime factors of 28016 and 28033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28016 and 28033.

How to find the GCF of 28016 and 28033?

We will first find the prime factorization of 28016 and 28033. After we will calculate the factors of 28016 and 28033 and find the biggest common factor number .

Step-1: Prime Factorization of 28016

Prime factors of 28016 are 2, 17, 103. Prime factorization of 28016 in exponential form is:

28016 = 2⁴ × 17¹ × 103¹

Step-2: Prime Factorization of 28033

Prime factors of 28033 are 17, 97. Prime factorization of 28033 in exponential form is:

28033 = 17² × 97¹

Step-3: Factors of 28016

List of positive integer factors of 28016 that divides 28016 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 103, 136, 206, 272, 412, 824, 1648, 1751, 3502, 7004, 14008

Step-4: Factors of 28033

List of positive integer factors of 28033 that divides 28016 without a remainder.

1, 17, 97, 289, 1649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28016 and 28033. The biggest common factor number is the GCF number.
So the greatest common factor 28016 and 28033 is 17.

Also check out the Least Common Multiple of 28016 and 28033