What is the Greatest Common Factor of 243 and 253?

Greatest common factor (GCF) of 243 and 253 is 1.

GCF(243,253) = 1

We will now calculate the prime factors of 243 and 253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 243 and 253.

How to find the GCF of 243 and 253?

We will first find the prime factorization of 243 and 253. After we will calculate the factors of 243 and 253 and find the biggest common factor number .

Step-1: Prime Factorization of 243

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

243 = 3⁵

Step-2: Prime Factorization of 253

Prime factors of 253 are 11, 23. Prime factorization of 253 in exponential form is:

253 = 11¹ × 23¹

Step-3: Factors of 243

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

1, 3, 9, 27, 81

Step-4: Factors of 253

List of positive integer factors of 253 that divides 243 without a remainder.

1, 11, 23

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 243 and 253. The biggest common factor number is the GCF number.
So the greatest common factor 243 and 253 is 1.

Also check out the Least Common Multiple of 243 and 253