What is the Greatest Common Factor of 20205 and 20209?

Greatest common factor (GCF) of 20205 and 20209 is 1.

GCF(20205,20209) = 1

We will now calculate the prime factors of 20205 and 20209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20205 and 20209.

How to find the GCF of 20205 and 20209?

We will first find the prime factorization of 20205 and 20209. After we will calculate the factors of 20205 and 20209 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 20209

Prime factors of 20209 are 7, 2887. Prime factorization of 20209 in exponential form is:

20209 = 7¹ × 2887¹

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 20209

List of positive integer factors of 20209 that divides 20205 without a remainder.

1, 7, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20205 and 20209. The biggest common factor number is the GCF number.
So the greatest common factor 20205 and 20209 is 1.

Also check out the Least Common Multiple of 20205 and 20209