What is the Greatest Common Factor of 20190 and 20205?

Greatest common factor (GCF) of 20190 and 20205 is 15.

GCF(20190,20205) = 15

We will now calculate the prime factors of 20190 and 20205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20190 and 20205.

How to find the GCF of 20190 and 20205?

We will first find the prime factorization of 20190 and 20205. After we will calculate the factors of 20190 and 20205 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 20205

Prime factors of 20205 are 3, 5, 449. Prime factorization of 20205 in exponential form is:

20205 = 3² × 5¹ × 449¹

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 20205

List of positive integer factors of 20205 that divides 20190 without a remainder.

1, 3, 5, 9, 15, 45, 449, 1347, 2245, 4041, 6735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20190 and 20205. The biggest common factor number is the GCF number.
So the greatest common factor 20190 and 20205 is 15.

Also check out the Least Common Multiple of 20190 and 20205