What is the Greatest Common Factor of 16971 and 16986?

Greatest common factor (GCF) of 16971 and 16986 is 3.

GCF(16971,16986) = 3

We will now calculate the prime factors of 16971 and 16986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16971 and 16986.

How to find the GCF of 16971 and 16986?

We will first find the prime factorization of 16971 and 16986. After we will calculate the factors of 16971 and 16986 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 16986

Prime factors of 16986 are 2, 3, 19, 149. Prime factorization of 16986 in exponential form is:

16986 = 2¹ × 3¹ × 19¹ × 149¹

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 16986

List of positive integer factors of 16986 that divides 16971 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 149, 298, 447, 894, 2831, 5662, 8493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16971 and 16986. The biggest common factor number is the GCF number.
So the greatest common factor 16971 and 16986 is 3.

Also check out the Least Common Multiple of 16971 and 16986