What is the Greatest Common Factor of 23385 and 23405?

Greatest common factor (GCF) of 23385 and 23405 is 5.

GCF(23385,23405) = 5

We will now calculate the prime factors of 23385 and 23405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23385 and 23405.

How to find the GCF of 23385 and 23405?

We will first find the prime factorization of 23385 and 23405. After we will calculate the factors of 23385 and 23405 and find the biggest common factor number .

Step-1: Prime Factorization of 23385

Prime factors of 23385 are 3, 5, 1559. Prime factorization of 23385 in exponential form is:

23385 = 3¹ × 5¹ × 1559¹

Step-2: 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-3: Factors of 23385

List of positive integer factors of 23385 that divides 23385 without a remainder.

1, 3, 5, 15, 1559, 4677, 7795

Step-4: Factors of 23405

List of positive integer factors of 23405 that divides 23385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23385 and 23405. The biggest common factor number is the GCF number.
So the greatest common factor 23385 and 23405 is 5.

Also check out the Least Common Multiple of 23385 and 23405