What is the Greatest Common Factor of 19980 and 19989?

Greatest common factor (GCF) of 19980 and 19989 is 9.

GCF(19980,19989) = 9

We will now calculate the prime factors of 19980 and 19989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19980 and 19989.

How to find the GCF of 19980 and 19989?

We will first find the prime factorization of 19980 and 19989. After we will calculate the factors of 19980 and 19989 and find the biggest common factor number .

Step-1: Prime Factorization of 19980

Prime factors of 19980 are 2, 3, 5, 37. Prime factorization of 19980 in exponential form is:

19980 = 2² × 3³ × 5¹ × 37¹

Step-2: Prime Factorization of 19989

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

19989 = 3² × 2221¹

Step-3: Factors of 19980

List of positive integer factors of 19980 that divides 19980 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 37, 45, 54, 60, 74, 90, 108, 111, 135, 148, 180, 185, 222, 270, 333, 370, 444, 540, 555, 666, 740, 999, 1110, 1332, 1665, 1998, 2220, 3330, 3996, 4995, 6660, 9990

Step-4: Factors of 19989

List of positive integer factors of 19989 that divides 19980 without a remainder.

1, 3, 9, 2221, 6663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19980 and 19989. The biggest common factor number is the GCF number.
So the greatest common factor 19980 and 19989 is 9.

Also check out the Least Common Multiple of 19980 and 19989