What is the Greatest Common Factor of 23405 and 23413?

Greatest common factor (GCF) of 23405 and 23413 is 1.

GCF(23405,23413) = 1

We will now calculate the prime factors of 23405 and 23413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23405 and 23413.

How to find the GCF of 23405 and 23413?

We will first find the prime factorization of 23405 and 23413. After we will calculate the factors of 23405 and 23413 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 23413

Prime factors of 23413 are 13, 1801. Prime factorization of 23413 in exponential form is:

23413 = 13¹ × 1801¹

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 23413

List of positive integer factors of 23413 that divides 23405 without a remainder.

1, 13, 1801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23405 and 23413. The biggest common factor number is the GCF number.
So the greatest common factor 23405 and 23413 is 1.

Also check out the Least Common Multiple of 23405 and 23413