What is the Greatest Common Factor of 12005 and 12018?

Greatest common factor (GCF) of 12005 and 12018 is 1.

GCF(12005,12018) = 1

We will now calculate the prime factors of 12005 and 12018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12005 and 12018.

How to find the GCF of 12005 and 12018?

We will first find the prime factorization of 12005 and 12018. After we will calculate the factors of 12005 and 12018 and find the biggest common factor number .

Step-1: Prime Factorization of 12005

Prime factors of 12005 are 5, 7. Prime factorization of 12005 in exponential form is:

12005 = 5¹ × 7⁴

Step-2: Prime Factorization of 12018

Prime factors of 12018 are 2, 3, 2003. Prime factorization of 12018 in exponential form is:

12018 = 2¹ × 3¹ × 2003¹

Step-3: Factors of 12005

List of positive integer factors of 12005 that divides 12005 without a remainder.

1, 5, 7, 35, 49, 245, 343, 1715, 2401

Step-4: Factors of 12018

List of positive integer factors of 12018 that divides 12005 without a remainder.

1, 2, 3, 6, 2003, 4006, 6009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12005 and 12018. The biggest common factor number is the GCF number.
So the greatest common factor 12005 and 12018 is 1.

Also check out the Least Common Multiple of 12005 and 12018