What is the Greatest Common Factor of 23895 and 23905?

Greatest common factor (GCF) of 23895 and 23905 is 5.

GCF(23895,23905) = 5

We will now calculate the prime factors of 23895 and 23905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23895 and 23905.

How to find the GCF of 23895 and 23905?

We will first find the prime factorization of 23895 and 23905. After we will calculate the factors of 23895 and 23905 and find the biggest common factor number .

Step-1: Prime Factorization of 23895

Prime factors of 23895 are 3, 5, 59. Prime factorization of 23895 in exponential form is:

23895 = 3⁴ × 5¹ × 59¹

Step-2: Prime Factorization of 23905

Prime factors of 23905 are 5, 7, 683. Prime factorization of 23905 in exponential form is:

23905 = 5¹ × 7¹ × 683¹

Step-3: Factors of 23895

List of positive integer factors of 23895 that divides 23895 without a remainder.

1, 3, 5, 9, 15, 27, 45, 59, 81, 135, 177, 295, 405, 531, 885, 1593, 2655, 4779, 7965

Step-4: Factors of 23905

List of positive integer factors of 23905 that divides 23895 without a remainder.

1, 5, 7, 35, 683, 3415, 4781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23895 and 23905. The biggest common factor number is the GCF number.
So the greatest common factor 23895 and 23905 is 5.

Also check out the Least Common Multiple of 23895 and 23905