What is the Greatest Common Factor of 23775 and 23790?

Greatest common factor (GCF) of 23775 and 23790 is 15.

GCF(23775,23790) = 15

We will now calculate the prime factors of 23775 and 23790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23775 and 23790.

How to find the GCF of 23775 and 23790?

We will first find the prime factorization of 23775 and 23790. After we will calculate the factors of 23775 and 23790 and find the biggest common factor number .

Step-1: Prime Factorization of 23775

Prime factors of 23775 are 3, 5, 317. Prime factorization of 23775 in exponential form is:

23775 = 3¹ × 5² × 317¹

Step-2: Prime Factorization of 23790

Prime factors of 23790 are 2, 3, 5, 13, 61. Prime factorization of 23790 in exponential form is:

23790 = 2¹ × 3¹ × 5¹ × 13¹ × 61¹

Step-3: Factors of 23775

List of positive integer factors of 23775 that divides 23775 without a remainder.

1, 3, 5, 15, 25, 75, 317, 951, 1585, 4755, 7925

Step-4: Factors of 23790

List of positive integer factors of 23790 that divides 23775 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 61, 65, 78, 122, 130, 183, 195, 305, 366, 390, 610, 793, 915, 1586, 1830, 2379, 3965, 4758, 7930, 11895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23775 and 23790. The biggest common factor number is the GCF number.
So the greatest common factor 23775 and 23790 is 15.

Also check out the Least Common Multiple of 23775 and 23790