What is the Greatest Common Factor of 213 and 227?

Greatest common factor (GCF) of 213 and 227 is 1.

GCF(213,227) = 1

We will now calculate the prime factors of 213 and 227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 213 and 227.

How to find the GCF of 213 and 227?

We will first find the prime factorization of 213 and 227. After we will calculate the factors of 213 and 227 and find the biggest common factor number .

Step-1: Prime Factorization of 213

Prime factors of 213 are 3, 71. Prime factorization of 213 in exponential form is:

213 = 3¹ × 71¹

Step-2: Prime Factorization of 227

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 227¹

Step-3: Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1, 3, 71

Step-4: Factors of 227

List of positive integer factors of 227 that divides 213 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 213 and 227. The biggest common factor number is the GCF number.
So the greatest common factor 213 and 227 is 1.

Also check out the Least Common Multiple of 213 and 227