What is the Greatest Common Factor of 16998 and 17007?

Greatest common factor (GCF) of 16998 and 17007 is 3.

GCF(16998,17007) = 3

We will now calculate the prime factors of 16998 and 17007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16998 and 17007.

How to find the GCF of 16998 and 17007?

We will first find the prime factorization of 16998 and 17007. After we will calculate the factors of 16998 and 17007 and find the biggest common factor number .

Step-1: Prime Factorization of 16998

Prime factors of 16998 are 2, 3, 2833. Prime factorization of 16998 in exponential form is:

16998 = 2¹ × 3¹ × 2833¹

Step-2: Prime Factorization of 17007

Prime factors of 17007 are 3, 5669. Prime factorization of 17007 in exponential form is:

17007 = 3¹ × 5669¹

Step-3: Factors of 16998

List of positive integer factors of 16998 that divides 16998 without a remainder.

1, 2, 3, 6, 2833, 5666, 8499

Step-4: Factors of 17007

List of positive integer factors of 17007 that divides 16998 without a remainder.

1, 3, 5669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16998 and 17007. The biggest common factor number is the GCF number.
So the greatest common factor 16998 and 17007 is 3.

Also check out the Least Common Multiple of 16998 and 17007