What is the Greatest Common Factor of 23770 and 23775?

Greatest common factor (GCF) of 23770 and 23775 is 5.

GCF(23770,23775) = 5

We will now calculate the prime factors of 23770 and 23775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23770 and 23775.

How to find the GCF of 23770 and 23775?

We will first find the prime factorization of 23770 and 23775. After we will calculate the factors of 23770 and 23775 and find the biggest common factor number .

Step-1: Prime Factorization of 23770

Prime factors of 23770 are 2, 5, 2377. Prime factorization of 23770 in exponential form is:

23770 = 2¹ × 5¹ × 2377¹

Step-2: 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-3: Factors of 23770

List of positive integer factors of 23770 that divides 23770 without a remainder.

1, 2, 5, 10, 2377, 4754, 11885

Step-4: Factors of 23775

List of positive integer factors of 23775 that divides 23770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23770 and 23775. The biggest common factor number is the GCF number.
So the greatest common factor 23770 and 23775 is 5.

Also check out the Least Common Multiple of 23770 and 23775