What is the Greatest Common Factor of 19998 and 20013?

Greatest common factor (GCF) of 19998 and 20013 is 3.

GCF(19998,20013) = 3

We will now calculate the prime factors of 19998 and 20013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19998 and 20013.

How to find the GCF of 19998 and 20013?

We will first find the prime factorization of 19998 and 20013. After we will calculate the factors of 19998 and 20013 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 20013

Prime factors of 20013 are 3, 7, 953. Prime factorization of 20013 in exponential form is:

20013 = 3¹ × 7¹ × 953¹

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 20013

List of positive integer factors of 20013 that divides 19998 without a remainder.

1, 3, 7, 21, 953, 2859, 6671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19998 and 20013. The biggest common factor number is the GCF number.
So the greatest common factor 19998 and 20013 is 3.

Also check out the Least Common Multiple of 19998 and 20013