What is the Greatest Common Factor of 19668 and 19686?

Greatest common factor (GCF) of 19668 and 19686 is 6.

GCF(19668,19686) = 6

We will now calculate the prime factors of 19668 and 19686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19668 and 19686.

How to find the GCF of 19668 and 19686?

We will first find the prime factorization of 19668 and 19686. After we will calculate the factors of 19668 and 19686 and find the biggest common factor number .

Step-1: Prime Factorization of 19668

Prime factors of 19668 are 2, 3, 11, 149. Prime factorization of 19668 in exponential form is:

19668 = 2² × 3¹ × 11¹ × 149¹

Step-2: Prime Factorization of 19686

Prime factors of 19686 are 2, 3, 17, 193. Prime factorization of 19686 in exponential form is:

19686 = 2¹ × 3¹ × 17¹ × 193¹

Step-3: Factors of 19668

List of positive integer factors of 19668 that divides 19668 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 149, 298, 447, 596, 894, 1639, 1788, 3278, 4917, 6556, 9834

Step-4: Factors of 19686

List of positive integer factors of 19686 that divides 19668 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 193, 386, 579, 1158, 3281, 6562, 9843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19668 and 19686. The biggest common factor number is the GCF number.
So the greatest common factor 19668 and 19686 is 6.

Also check out the Least Common Multiple of 19668 and 19686