What is the Greatest Common Factor of 20190 and 20199?

Greatest common factor (GCF) of 20190 and 20199 is 3.

GCF(20190,20199) = 3

We will now calculate the prime factors of 20190 and 20199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20190 and 20199.

How to find the GCF of 20190 and 20199?

We will first find the prime factorization of 20190 and 20199. After we will calculate the factors of 20190 and 20199 and find the biggest common factor number .

Step-1: Prime Factorization of 20190

Prime factors of 20190 are 2, 3, 5, 673. Prime factorization of 20190 in exponential form is:

20190 = 2¹ × 3¹ × 5¹ × 673¹

Step-2: Prime Factorization of 20199

Prime factors of 20199 are 3, 6733. Prime factorization of 20199 in exponential form is:

20199 = 3¹ × 6733¹

Step-3: Factors of 20190

List of positive integer factors of 20190 that divides 20190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 673, 1346, 2019, 3365, 4038, 6730, 10095

Step-4: Factors of 20199

List of positive integer factors of 20199 that divides 20190 without a remainder.

1, 3, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20190 and 20199. The biggest common factor number is the GCF number.
So the greatest common factor 20190 and 20199 is 3.

Also check out the Least Common Multiple of 20190 and 20199