What is the Greatest Common Factor of 20205 and 20213?

Greatest common factor (GCF) of 20205 and 20213 is 1.

GCF(20205,20213) = 1

We will now calculate the prime factors of 20205 and 20213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20205 and 20213.

How to find the GCF of 20205 and 20213?

We will first find the prime factorization of 20205 and 20213. After we will calculate the factors of 20205 and 20213 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 20213

Prime factors of 20213 are 17, 29, 41. Prime factorization of 20213 in exponential form is:

20213 = 17¹ × 29¹ × 41¹

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 20213

List of positive integer factors of 20213 that divides 20205 without a remainder.

1, 17, 29, 41, 493, 697, 1189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20205 and 20213. The biggest common factor number is the GCF number.
So the greatest common factor 20205 and 20213 is 1.

Also check out the Least Common Multiple of 20205 and 20213