What is the Greatest Common Factor of 20180 and 20190?

Greatest common factor (GCF) of 20180 and 20190 is 10.

GCF(20180,20190) = 10

We will now calculate the prime factors of 20180 and 20190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20180 and 20190.

How to find the GCF of 20180 and 20190?

We will first find the prime factorization of 20180 and 20190. After we will calculate the factors of 20180 and 20190 and find the biggest common factor number .

Step-1: Prime Factorization of 20180

Prime factors of 20180 are 2, 5, 1009. Prime factorization of 20180 in exponential form is:

20180 = 2² × 5¹ × 1009¹

Step-2: 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-3: Factors of 20180

List of positive integer factors of 20180 that divides 20180 without a remainder.

1, 2, 4, 5, 10, 20, 1009, 2018, 4036, 5045, 10090

Step-4: Factors of 20190

List of positive integer factors of 20190 that divides 20180 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20180 and 20190. The biggest common factor number is the GCF number.
So the greatest common factor 20180 and 20190 is 10.

Also check out the Least Common Multiple of 20180 and 20190