What is the Greatest Common Factor of 16967 and 16986?

Greatest common factor (GCF) of 16967 and 16986 is 19.

GCF(16967,16986) = 19

We will now calculate the prime factors of 16967 and 16986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16967 and 16986.

How to find the GCF of 16967 and 16986?

We will first find the prime factorization of 16967 and 16986. After we will calculate the factors of 16967 and 16986 and find the biggest common factor number .

Step-1: Prime Factorization of 16967

Prime factors of 16967 are 19, 47. Prime factorization of 16967 in exponential form is:

16967 = 19² × 47¹

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 16967

List of positive integer factors of 16967 that divides 16967 without a remainder.

1, 19, 47, 361, 893

Step-4: Factors of 16986

List of positive integer factors of 16986 that divides 16967 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 16967 and 16986. The biggest common factor number is the GCF number.
So the greatest common factor 16967 and 16986 is 19.

Also check out the Least Common Multiple of 16967 and 16986