What is the Greatest Common Factor of 27009 and 27025?

Greatest common factor (GCF) of 27009 and 27025 is 1.

GCF(27009,27025) = 1

We will now calculate the prime factors of 27009 and 27025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27009 and 27025.

How to find the GCF of 27009 and 27025?

We will first find the prime factorization of 27009 and 27025. After we will calculate the factors of 27009 and 27025 and find the biggest common factor number .

Step-1: Prime Factorization of 27009

Prime factors of 27009 are 3, 3001. Prime factorization of 27009 in exponential form is:

27009 = 3² × 3001¹

Step-2: Prime Factorization of 27025

Prime factors of 27025 are 5, 23, 47. Prime factorization of 27025 in exponential form is:

27025 = 5² × 23¹ × 47¹

Step-3: Factors of 27009

List of positive integer factors of 27009 that divides 27009 without a remainder.

1, 3, 9, 3001, 9003

Step-4: Factors of 27025

List of positive integer factors of 27025 that divides 27009 without a remainder.

1, 5, 23, 25, 47, 115, 235, 575, 1081, 1175, 5405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27009 and 27025. The biggest common factor number is the GCF number.
So the greatest common factor 27009 and 27025 is 1.

Also check out the Least Common Multiple of 27009 and 27025