What is the Greatest Common Factor of 222 and 241?

Greatest common factor (GCF) of 222 and 241 is 1.

GCF(222,241) = 1

We will now calculate the prime factors of 222 and 241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 222 and 241.

How to find the GCF of 222 and 241?

We will first find the prime factorization of 222 and 241. After we will calculate the factors of 222 and 241 and find the biggest common factor number .

Step-1: Prime Factorization of 222

Prime factors of 222 are 2, 3, 37. Prime factorization of 222 in exponential form is:

222 = 2¹ × 3¹ × 37¹

Step-2: Prime Factorization of 241

Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:

241 = 241¹

Step-3: Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111

Step-4: Factors of 241

List of positive integer factors of 241 that divides 222 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 222 and 241. The biggest common factor number is the GCF number.
So the greatest common factor 222 and 241 is 1.

Also check out the Least Common Multiple of 222 and 241