What is the Greatest Common Factor of 20205 and 20225?

Greatest common factor (GCF) of 20205 and 20225 is 5.

GCF(20205,20225) = 5

We will now calculate the prime factors of 20205 and 20225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20205 and 20225.

How to find the GCF of 20205 and 20225?

We will first find the prime factorization of 20205 and 20225. After we will calculate the factors of 20205 and 20225 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20225

Prime factors of 20225 are 5, 809. Prime factorization of 20225 in exponential form is:

20225 = 5² × 809¹

Step-3: Factors of 20205

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

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

Step-4: Factors of 20225

List of positive integer factors of 20225 that divides 20205 without a remainder.

1, 5, 25, 809, 4045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20205 and 20225. The biggest common factor number is the GCF number.
So the greatest common factor 20205 and 20225 is 5.

Also check out the Least Common Multiple of 20205 and 20225