What is the Greatest Common Factor of 18006 and 18021?

Greatest common factor (GCF) of 18006 and 18021 is 3.

GCF(18006,18021) = 3

We will now calculate the prime factors of 18006 and 18021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18006 and 18021.

How to find the GCF of 18006 and 18021?

We will first find the prime factorization of 18006 and 18021. After we will calculate the factors of 18006 and 18021 and find the biggest common factor number .

Step-1: Prime Factorization of 18006

Prime factors of 18006 are 2, 3, 3001. Prime factorization of 18006 in exponential form is:

18006 = 2¹ × 3¹ × 3001¹

Step-2: Prime Factorization of 18021

Prime factors of 18021 are 3, 6007. Prime factorization of 18021 in exponential form is:

18021 = 3¹ × 6007¹

Step-3: Factors of 18006

List of positive integer factors of 18006 that divides 18006 without a remainder.

1, 2, 3, 6, 3001, 6002, 9003

Step-4: Factors of 18021

List of positive integer factors of 18021 that divides 18006 without a remainder.

1, 3, 6007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18006 and 18021. The biggest common factor number is the GCF number.
So the greatest common factor 18006 and 18021 is 3.

Also check out the Least Common Multiple of 18006 and 18021