What is the Greatest Common Factor of 17959 and 17973?

Greatest common factor (GCF) of 17959 and 17973 is 1.

GCF(17959,17973) = 1

We will now calculate the prime factors of 17959 and 17973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17959 and 17973.

How to find the GCF of 17959 and 17973?

We will first find the prime factorization of 17959 and 17973. After we will calculate the factors of 17959 and 17973 and find the biggest common factor number .

Step-1: Prime Factorization of 17959

Prime factors of 17959 are 17959. Prime factorization of 17959 in exponential form is:

17959 = 17959¹

Step-2: Prime Factorization of 17973

Prime factors of 17973 are 3, 1997. Prime factorization of 17973 in exponential form is:

17973 = 3² × 1997¹

Step-3: Factors of 17959

List of positive integer factors of 17959 that divides 17959 without a remainder.

Step-4: Factors of 17973

List of positive integer factors of 17973 that divides 17959 without a remainder.

1, 3, 9, 1997, 5991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17959 and 17973. The biggest common factor number is the GCF number.
So the greatest common factor 17959 and 17973 is 1.

Also check out the Least Common Multiple of 17959 and 17973