What is the Greatest Common Factor of 231 and 242?

Greatest common factor (GCF) of 231 and 242 is 11.

GCF(231,242) = 11

We will now calculate the prime factors of 231 and 242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 231 and 242.

How to find the GCF of 231 and 242?

We will first find the prime factorization of 231 and 242. After we will calculate the factors of 231 and 242 and find the biggest common factor number .

Step-1: Prime Factorization of 231

Prime factors of 231 are 3, 7, 11. Prime factorization of 231 in exponential form is:

231 = 3¹ × 7¹ × 11¹

Step-2: Prime Factorization of 242

Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:

242 = 2¹ × 11²

Step-3: Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77

Step-4: Factors of 242

List of positive integer factors of 242 that divides 231 without a remainder.

1, 2, 11, 22, 121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 231 and 242. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 242 is 11.

Also check out the Least Common Multiple of 231 and 242