What is the Greatest Common Factor of 17997 and 18006?

Greatest common factor (GCF) of 17997 and 18006 is 3.

GCF(17997,18006) = 3

We will now calculate the prime factors of 17997 and 18006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17997 and 18006.

How to find the GCF of 17997 and 18006?

We will first find the prime factorization of 17997 and 18006. After we will calculate the factors of 17997 and 18006 and find the biggest common factor number .

Step-1: Prime Factorization of 17997

Prime factors of 17997 are 3, 7, 857. Prime factorization of 17997 in exponential form is:

17997 = 3¹ × 7¹ × 857¹

Step-2: 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-3: Factors of 17997

List of positive integer factors of 17997 that divides 17997 without a remainder.

1, 3, 7, 21, 857, 2571, 5999

Step-4: Factors of 18006

List of positive integer factors of 18006 that divides 17997 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17997 and 18006. The biggest common factor number is the GCF number.
So the greatest common factor 17997 and 18006 is 3.

Also check out the Least Common Multiple of 17997 and 18006