What is the Greatest Common Factor of 234 and 243?

Greatest common factor (GCF) of 234 and 243 is 9.

GCF(234,243) = 9

We will now calculate the prime factors of 234 and 243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 234 and 243.

How to find the GCF of 234 and 243?

We will first find the prime factorization of 234 and 243. After we will calculate the factors of 234 and 243 and find the biggest common factor number .

Step-1: Prime Factorization of 234

Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:

234 = 2¹ × 3² × 13¹

Step-2: Prime Factorization of 243

Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:

243 = 3⁵

Step-3: Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117

Step-4: Factors of 243

List of positive integer factors of 243 that divides 234 without a remainder.

1, 3, 9, 27, 81

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 234 and 243. The biggest common factor number is the GCF number.
So the greatest common factor 234 and 243 is 9.

Also check out the Least Common Multiple of 234 and 243