What is the Greatest Common Factor of 238 and 243?

Greatest common factor (GCF) of 238 and 243 is 1.

GCF(238,243) = 1

We will now calculate the prime factors of 238 and 243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 238 and 243.

How to find the GCF of 238 and 243?

We will first find the prime factorization of 238 and 243. After we will calculate the factors of 238 and 243 and find the biggest common factor number .

Step-1: Prime Factorization of 238

Prime factors of 238 are 2, 7, 17. Prime factorization of 238 in exponential form is:

238 = 2¹ × 7¹ × 17¹

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 238

List of positive integer factors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119

Step-4: Factors of 243

List of positive integer factors of 243 that divides 238 without a remainder.

1, 3, 9, 27, 81

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 238 and 243. The biggest common factor number is the GCF number.
So the greatest common factor 238 and 243 is 1.

Also check out the Least Common Multiple of 238 and 243