What is the Greatest Common Factor of 16986 and 16998?

Greatest common factor (GCF) of 16986 and 16998 is 6.

GCF(16986,16998) = 6

We will now calculate the prime factors of 16986 and 16998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16986 and 16998.

How to find the GCF of 16986 and 16998?

We will first find the prime factorization of 16986 and 16998. After we will calculate the factors of 16986 and 16998 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 16998

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

16998 = 2¹ × 3¹ × 2833¹

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 16998

List of positive integer factors of 16998 that divides 16986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16986 and 16998. The biggest common factor number is the GCF number.
So the greatest common factor 16986 and 16998 is 6.

Also check out the Least Common Multiple of 16986 and 16998