What is the Greatest Common Factor of 20180 and 20185?

Greatest common factor (GCF) of 20180 and 20185 is 5.

GCF(20180,20185) = 5

We will now calculate the prime factors of 20180 and 20185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20180 and 20185.

How to find the GCF of 20180 and 20185?

We will first find the prime factorization of 20180 and 20185. After we will calculate the factors of 20180 and 20185 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 20185

Prime factors of 20185 are 5, 11, 367. Prime factorization of 20185 in exponential form is:

20185 = 5¹ × 11¹ × 367¹

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 20185

List of positive integer factors of 20185 that divides 20180 without a remainder.

1, 5, 11, 55, 367, 1835, 4037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20180 and 20185. The biggest common factor number is the GCF number.
So the greatest common factor 20180 and 20185 is 5.

Also check out the Least Common Multiple of 20180 and 20185