What is the Greatest Common Factor of 28009 and 28027?

Greatest common factor (GCF) of 28009 and 28027 is 1.

GCF(28009,28027) = 1

We will now calculate the prime factors of 28009 and 28027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28009 and 28027.

How to find the GCF of 28009 and 28027?

We will first find the prime factorization of 28009 and 28027. After we will calculate the factors of 28009 and 28027 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 28027

Prime factors of 28027 are 28027. Prime factorization of 28027 in exponential form is:

28027 = 28027¹

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 28027

List of positive integer factors of 28027 that divides 28009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28009 and 28027. The biggest common factor number is the GCF number.
So the greatest common factor 28009 and 28027 is 1.

Also check out the Least Common Multiple of 28009 and 28027