What is the Greatest Common Factor of 47233 and 47241?

Greatest common factor (GCF) of 47233 and 47241 is 1.

GCF(47233,47241) = 1

We will now calculate the prime factors of 47233 and 47241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47233 and 47241.

How to find the GCF of 47233 and 47241?

We will first find the prime factorization of 47233 and 47241. After we will calculate the factors of 47233 and 47241 and find the biggest common factor number .

Step-1: Prime Factorization of 47233

Prime factors of 47233 are 149, 317. Prime factorization of 47233 in exponential form is:

47233 = 149¹ × 317¹

Step-2: Prime Factorization of 47241

Prime factors of 47241 are 3, 29, 181. Prime factorization of 47241 in exponential form is:

47241 = 3² × 29¹ × 181¹

Step-3: Factors of 47233

List of positive integer factors of 47233 that divides 47233 without a remainder.

1, 149, 317

Step-4: Factors of 47241

List of positive integer factors of 47241 that divides 47233 without a remainder.

1, 3, 9, 29, 87, 181, 261, 543, 1629, 5249, 15747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47233 and 47241. The biggest common factor number is the GCF number.
So the greatest common factor 47233 and 47241 is 1.

Also check out the Least Common Multiple of 47233 and 47241