What is the Greatest Common Factor of 16971 and 16989?

Greatest common factor (GCF) of 16971 and 16989 is 3.

GCF(16971,16989) = 3

We will now calculate the prime factors of 16971 and 16989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16971 and 16989.

How to find the GCF of 16971 and 16989?

We will first find the prime factorization of 16971 and 16989. After we will calculate the factors of 16971 and 16989 and find the biggest common factor number .

Step-1: Prime Factorization of 16971

Prime factors of 16971 are 3, 5657. Prime factorization of 16971 in exponential form is:

16971 = 3¹ × 5657¹

Step-2: 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-3: Factors of 16971

List of positive integer factors of 16971 that divides 16971 without a remainder.

1, 3, 5657

Step-4: Factors of 16989

List of positive integer factors of 16989 that divides 16971 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16971 and 16989. The biggest common factor number is the GCF number.
So the greatest common factor 16971 and 16989 is 3.

Also check out the Least Common Multiple of 16971 and 16989