What is the Greatest Common Factor of 12006 and 12023?

Greatest common factor (GCF) of 12006 and 12023 is 1.

GCF(12006,12023) = 1

We will now calculate the prime factors of 12006 and 12023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12006 and 12023.

How to find the GCF of 12006 and 12023?

We will first find the prime factorization of 12006 and 12023. After we will calculate the factors of 12006 and 12023 and find the biggest common factor number .

Step-1: Prime Factorization of 12006

Prime factors of 12006 are 2, 3, 23, 29. Prime factorization of 12006 in exponential form is:

12006 = 2¹ × 3² × 23¹ × 29¹

Step-2: Prime Factorization of 12023

Prime factors of 12023 are 11, 1093. Prime factorization of 12023 in exponential form is:

12023 = 11¹ × 1093¹

Step-3: Factors of 12006

List of positive integer factors of 12006 that divides 12006 without a remainder.

1, 2, 3, 6, 9, 18, 23, 29, 46, 58, 69, 87, 138, 174, 207, 261, 414, 522, 667, 1334, 2001, 4002, 6003

Step-4: Factors of 12023

List of positive integer factors of 12023 that divides 12006 without a remainder.

1, 11, 1093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12006 and 12023. The biggest common factor number is the GCF number.
So the greatest common factor 12006 and 12023 is 1.

Also check out the Least Common Multiple of 12006 and 12023