What is the Greatest Common Factor of 23582 and 23595?

Greatest common factor (GCF) of 23582 and 23595 is 13.

GCF(23582,23595) = 13

We will now calculate the prime factors of 23582 and 23595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23582 and 23595.

How to find the GCF of 23582 and 23595?

We will first find the prime factorization of 23582 and 23595. After we will calculate the factors of 23582 and 23595 and find the biggest common factor number .

Step-1: Prime Factorization of 23582

Prime factors of 23582 are 2, 13, 907. Prime factorization of 23582 in exponential form is:

23582 = 2¹ × 13¹ × 907¹

Step-2: Prime Factorization of 23595

Prime factors of 23595 are 3, 5, 11, 13. Prime factorization of 23595 in exponential form is:

23595 = 3¹ × 5¹ × 11² × 13¹

Step-3: Factors of 23582

List of positive integer factors of 23582 that divides 23582 without a remainder.

1, 2, 13, 26, 907, 1814, 11791

Step-4: Factors of 23595

List of positive integer factors of 23595 that divides 23582 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 121, 143, 165, 195, 363, 429, 605, 715, 1573, 1815, 2145, 4719, 7865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23582 and 23595. The biggest common factor number is the GCF number.
So the greatest common factor 23582 and 23595 is 13.

Also check out the Least Common Multiple of 23582 and 23595