What is the Greatest Common Factor of 12009 and 12025?

Greatest common factor (GCF) of 12009 and 12025 is 1.

GCF(12009,12025) = 1

We will now calculate the prime factors of 12009 and 12025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12009 and 12025.

How to find the GCF of 12009 and 12025?

We will first find the prime factorization of 12009 and 12025. After we will calculate the factors of 12009 and 12025 and find the biggest common factor number .

Step-1: Prime Factorization of 12009

Prime factors of 12009 are 3, 4003. Prime factorization of 12009 in exponential form is:

12009 = 3¹ × 4003¹

Step-2: Prime Factorization of 12025

Prime factors of 12025 are 5, 13, 37. Prime factorization of 12025 in exponential form is:

12025 = 5² × 13¹ × 37¹

Step-3: Factors of 12009

List of positive integer factors of 12009 that divides 12009 without a remainder.

1, 3, 4003

Step-4: Factors of 12025

List of positive integer factors of 12025 that divides 12009 without a remainder.

1, 5, 13, 25, 37, 65, 185, 325, 481, 925, 2405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12009 and 12025. The biggest common factor number is the GCF number.
So the greatest common factor 12009 and 12025 is 1.

Also check out the Least Common Multiple of 12009 and 12025