What is the Greatest Common Factor of 16989 and 17001?

Greatest common factor (GCF) of 16989 and 17001 is 3.

GCF(16989,17001) = 3

We will now calculate the prime factors of 16989 and 17001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16989 and 17001.

How to find the GCF of 16989 and 17001?

We will first find the prime factorization of 16989 and 17001. After we will calculate the factors of 16989 and 17001 and find the biggest common factor number .

Step-1: Prime Factorization of 16989

Prime factors of 16989 are 3, 7, 809. Prime factorization of 16989 in exponential form is:

16989 = 3¹ × 7¹ × 809¹

Step-2: Prime Factorization of 17001

Prime factors of 17001 are 3, 1889. Prime factorization of 17001 in exponential form is:

17001 = 3² × 1889¹

Step-3: Factors of 16989

List of positive integer factors of 16989 that divides 16989 without a remainder.

1, 3, 7, 21, 809, 2427, 5663

Step-4: Factors of 17001

List of positive integer factors of 17001 that divides 16989 without a remainder.

1, 3, 9, 1889, 5667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16989 and 17001. The biggest common factor number is the GCF number.
So the greatest common factor 16989 and 17001 is 3.

Also check out the Least Common Multiple of 16989 and 17001