What is the Greatest Common Factor of 23775 and 23793?

Greatest common factor (GCF) of 23775 and 23793 is 3.

GCF(23775,23793) = 3

We will now calculate the prime factors of 23775 and 23793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23775 and 23793.

How to find the GCF of 23775 and 23793?

We will first find the prime factorization of 23775 and 23793. After we will calculate the factors of 23775 and 23793 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 23793

Prime factors of 23793 are 3, 7, 11, 103. Prime factorization of 23793 in exponential form is:

23793 = 3¹ × 7¹ × 11¹ × 103¹

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 23793

List of positive integer factors of 23793 that divides 23775 without a remainder.

1, 3, 7, 11, 21, 33, 77, 103, 231, 309, 721, 1133, 2163, 3399, 7931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23775 and 23793. The biggest common factor number is the GCF number.
So the greatest common factor 23775 and 23793 is 3.

Also check out the Least Common Multiple of 23775 and 23793