What is the Greatest Common Factor of 17986 and 18001?

Greatest common factor (GCF) of 17986 and 18001 is 1.

GCF(17986,18001) = 1

We will now calculate the prime factors of 17986 and 18001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17986 and 18001.

How to find the GCF of 17986 and 18001?

We will first find the prime factorization of 17986 and 18001. After we will calculate the factors of 17986 and 18001 and find the biggest common factor number .

Step-1: Prime Factorization of 17986

Prime factors of 17986 are 2, 17, 23. Prime factorization of 17986 in exponential form is:

17986 = 2¹ × 17¹ × 23²

Step-2: Prime Factorization of 18001

Prime factors of 18001 are 47, 383. Prime factorization of 18001 in exponential form is:

18001 = 47¹ × 383¹

Step-3: Factors of 17986

List of positive integer factors of 17986 that divides 17986 without a remainder.

1, 2, 17, 23, 34, 46, 391, 529, 782, 1058, 8993

Step-4: Factors of 18001

List of positive integer factors of 18001 that divides 17986 without a remainder.

1, 47, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17986 and 18001. The biggest common factor number is the GCF number.
So the greatest common factor 17986 and 18001 is 1.

Also check out the Least Common Multiple of 17986 and 18001