What is the Greatest Common Factor of 19998 and 20016?

Greatest common factor (GCF) of 19998 and 20016 is 18.

GCF(19998,20016) = 18

We will now calculate the prime factors of 19998 and 20016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19998 and 20016.

How to find the GCF of 19998 and 20016?

We will first find the prime factorization of 19998 and 20016. After we will calculate the factors of 19998 and 20016 and find the biggest common factor number .

Step-1: Prime Factorization of 19998

Prime factors of 19998 are 2, 3, 11, 101. Prime factorization of 19998 in exponential form is:

19998 = 2¹ × 3² × 11¹ × 101¹

Step-2: Prime Factorization of 20016

Prime factors of 20016 are 2, 3, 139. Prime factorization of 20016 in exponential form is:

20016 = 2⁴ × 3² × 139¹

Step-3: Factors of 19998

List of positive integer factors of 19998 that divides 19998 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 101, 198, 202, 303, 606, 909, 1111, 1818, 2222, 3333, 6666, 9999

Step-4: Factors of 20016

List of positive integer factors of 20016 that divides 19998 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 139, 144, 278, 417, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 5004, 6672, 10008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19998 and 20016. The biggest common factor number is the GCF number.
So the greatest common factor 19998 and 20016 is 18.

Also check out the Least Common Multiple of 19998 and 20016