What is the Greatest Common Factor of 16986 and 16999?

Greatest common factor (GCF) of 16986 and 16999 is 1.

GCF(16986,16999) = 1

We will now calculate the prime factors of 16986 and 16999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16986 and 16999.

How to find the GCF of 16986 and 16999?

We will first find the prime factorization of 16986 and 16999. After we will calculate the factors of 16986 and 16999 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16999

Prime factors of 16999 are 89, 191. Prime factorization of 16999 in exponential form is:

16999 = 89¹ × 191¹

Step-3: Factors of 16986

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

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

Step-4: Factors of 16999

List of positive integer factors of 16999 that divides 16986 without a remainder.

1, 89, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16986 and 16999. The biggest common factor number is the GCF number.
So the greatest common factor 16986 and 16999 is 1.

Also check out the Least Common Multiple of 16986 and 16999