What is the Greatest Common Factor of 23223 and 23241?

Greatest common factor (GCF) of 23223 and 23241 is 3.

GCF(23223,23241) = 3

We will now calculate the prime factors of 23223 and 23241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23223 and 23241.

How to find the GCF of 23223 and 23241?

We will first find the prime factorization of 23223 and 23241. After we will calculate the factors of 23223 and 23241 and find the biggest common factor number .

Step-1: Prime Factorization of 23223

Prime factors of 23223 are 3, 7741. Prime factorization of 23223 in exponential form is:

23223 = 3¹ × 7741¹

Step-2: Prime Factorization of 23241

Prime factors of 23241 are 3, 61, 127. Prime factorization of 23241 in exponential form is:

23241 = 3¹ × 61¹ × 127¹

Step-3: Factors of 23223

List of positive integer factors of 23223 that divides 23223 without a remainder.

1, 3, 7741

Step-4: Factors of 23241

List of positive integer factors of 23241 that divides 23223 without a remainder.

1, 3, 61, 127, 183, 381, 7747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23223 and 23241. The biggest common factor number is the GCF number.
So the greatest common factor 23223 and 23241 is 3.

Also check out the Least Common Multiple of 23223 and 23241