What is the Greatest Common Factor of 17999 and 18007?

Greatest common factor (GCF) of 17999 and 18007 is 1.

GCF(17999,18007) = 1

We will now calculate the prime factors of 17999 and 18007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17999 and 18007.

How to find the GCF of 17999 and 18007?

We will first find the prime factorization of 17999 and 18007. After we will calculate the factors of 17999 and 18007 and find the biggest common factor number .

Step-1: Prime Factorization of 17999

Prime factors of 17999 are 41, 439. Prime factorization of 17999 in exponential form is:

17999 = 41¹ × 439¹

Step-2: Prime Factorization of 18007

Prime factors of 18007 are 11, 1637. Prime factorization of 18007 in exponential form is:

18007 = 11¹ × 1637¹

Step-3: Factors of 17999

List of positive integer factors of 17999 that divides 17999 without a remainder.

1, 41, 439

Step-4: Factors of 18007

List of positive integer factors of 18007 that divides 17999 without a remainder.

1, 11, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17999 and 18007. The biggest common factor number is the GCF number.
So the greatest common factor 17999 and 18007 is 1.

Also check out the Least Common Multiple of 17999 and 18007