What is the Greatest Common Factor of 19989 and 20004?

Greatest common factor (GCF) of 19989 and 20004 is 3.

GCF(19989,20004) = 3

We will now calculate the prime factors of 19989 and 20004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19989 and 20004.

How to find the GCF of 19989 and 20004?

We will first find the prime factorization of 19989 and 20004. After we will calculate the factors of 19989 and 20004 and find the biggest common factor number .

Step-1: Prime Factorization of 19989

Prime factors of 19989 are 3, 2221. Prime factorization of 19989 in exponential form is:

19989 = 3² × 2221¹

Step-2: Prime Factorization of 20004

Prime factors of 20004 are 2, 3, 1667. Prime factorization of 20004 in exponential form is:

20004 = 2² × 3¹ × 1667¹

Step-3: Factors of 19989

List of positive integer factors of 19989 that divides 19989 without a remainder.

1, 3, 9, 2221, 6663

Step-4: Factors of 20004

List of positive integer factors of 20004 that divides 19989 without a remainder.

1, 2, 3, 4, 6, 12, 1667, 3334, 5001, 6668, 10002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19989 and 20004. The biggest common factor number is the GCF number.
So the greatest common factor 19989 and 20004 is 3.

Also check out the Least Common Multiple of 19989 and 20004