What is the Greatest Common Factor of 231 and 247?

Greatest common factor (GCF) of 231 and 247 is 1.

GCF(231,247) = 1

We will now calculate the prime factors of 231 and 247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 231 and 247.

How to find the GCF of 231 and 247?

We will first find the prime factorization of 231 and 247. After we will calculate the factors of 231 and 247 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 247

Prime factors of 247 are 13, 19. Prime factorization of 247 in exponential form is:

247 = 13¹ × 19¹

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 247

List of positive integer factors of 247 that divides 231 without a remainder.

1, 13, 19

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 231 and 247. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 247 is 1.

Also check out the Least Common Multiple of 231 and 247