What is the Greatest Common Factor of 205 and 211?

Greatest common factor (GCF) of 205 and 211 is 1.

GCF(205,211) = 1

We will now calculate the prime factors of 205 and 211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 205 and 211.

How to find the GCF of 205 and 211?

We will first find the prime factorization of 205 and 211. After we will calculate the factors of 205 and 211 and find the biggest common factor number .

Step-1: Prime Factorization of 205

Prime factors of 205 are 5, 41. Prime factorization of 205 in exponential form is:

205 = 5¹ × 41¹

Step-2: Prime Factorization of 211

Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:

211 = 211¹

Step-3: Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1, 5, 41

Step-4: Factors of 211

List of positive integer factors of 211 that divides 205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 205 and 211. The biggest common factor number is the GCF number.
So the greatest common factor 205 and 211 is 1.

Also check out the Least Common Multiple of 205 and 211