What is the Greatest Common Factor of 23443 and 23459?

Greatest common factor (GCF) of 23443 and 23459 is 1.

GCF(23443,23459) = 1

We will now calculate the prime factors of 23443 and 23459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23443 and 23459.

How to find the GCF of 23443 and 23459?

We will first find the prime factorization of 23443 and 23459. After we will calculate the factors of 23443 and 23459 and find the biggest common factor number .

Step-1: Prime Factorization of 23443

Prime factors of 23443 are 7, 17, 197. Prime factorization of 23443 in exponential form is:

23443 = 7¹ × 17¹ × 197¹

Step-2: Prime Factorization of 23459

Prime factors of 23459 are 23459. Prime factorization of 23459 in exponential form is:

23459 = 23459¹

Step-3: Factors of 23443

List of positive integer factors of 23443 that divides 23443 without a remainder.

1, 7, 17, 119, 197, 1379, 3349

Step-4: Factors of 23459

List of positive integer factors of 23459 that divides 23443 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23443 and 23459. The biggest common factor number is the GCF number.
So the greatest common factor 23443 and 23459 is 1.

Also check out the Least Common Multiple of 23443 and 23459