What is the Greatest Common Factor of 28009 and 28016?

Greatest common factor (GCF) of 28009 and 28016 is 1.

GCF(28009,28016) = 1

We will now calculate the prime factors of 28009 and 28016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28009 and 28016.

How to find the GCF of 28009 and 28016?

We will first find the prime factorization of 28009 and 28016. After we will calculate the factors of 28009 and 28016 and find the biggest common factor number .

Step-1: Prime Factorization of 28009

Prime factors of 28009 are 37, 757. Prime factorization of 28009 in exponential form is:

28009 = 37¹ × 757¹

Step-2: 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-3: Factors of 28009

List of positive integer factors of 28009 that divides 28009 without a remainder.

1, 37, 757

Step-4: Factors of 28016

List of positive integer factors of 28016 that divides 28009 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28009 and 28016. The biggest common factor number is the GCF number.
So the greatest common factor 28009 and 28016 is 1.

Also check out the Least Common Multiple of 28009 and 28016