What is the Greatest Common Factor of 23405 and 23409?

Greatest common factor (GCF) of 23405 and 23409 is 1.

GCF(23405,23409) = 1

We will now calculate the prime factors of 23405 and 23409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23405 and 23409.

How to find the GCF of 23405 and 23409?

We will first find the prime factorization of 23405 and 23409. After we will calculate the factors of 23405 and 23409 and find the biggest common factor number .

Step-1: Prime Factorization of 23405

Prime factors of 23405 are 5, 31, 151. Prime factorization of 23405 in exponential form is:

23405 = 5¹ × 31¹ × 151¹

Step-2: Prime Factorization of 23409

Prime factors of 23409 are 3, 17. Prime factorization of 23409 in exponential form is:

23409 = 3⁴ × 17²

Step-3: Factors of 23405

List of positive integer factors of 23405 that divides 23405 without a remainder.

1, 5, 31, 151, 155, 755, 4681

Step-4: Factors of 23409

List of positive integer factors of 23409 that divides 23405 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 289, 459, 867, 1377, 2601, 7803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23405 and 23409. The biggest common factor number is the GCF number.
So the greatest common factor 23405 and 23409 is 1.

Also check out the Least Common Multiple of 23405 and 23409