What is the Greatest Common Factor of 23850 and 23867?

Greatest common factor (GCF) of 23850 and 23867 is 1.

GCF(23850,23867) = 1

We will now calculate the prime factors of 23850 and 23867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23850 and 23867.

How to find the GCF of 23850 and 23867?

We will first find the prime factorization of 23850 and 23867. After we will calculate the factors of 23850 and 23867 and find the biggest common factor number .

Step-1: Prime Factorization of 23850

Prime factors of 23850 are 2, 3, 5, 53. Prime factorization of 23850 in exponential form is:

23850 = 2¹ × 3² × 5² × 53¹

Step-2: Prime Factorization of 23867

Prime factors of 23867 are 29, 823. Prime factorization of 23867 in exponential form is:

23867 = 29¹ × 823¹

Step-3: Factors of 23850

List of positive integer factors of 23850 that divides 23850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 53, 75, 90, 106, 150, 159, 225, 265, 318, 450, 477, 530, 795, 954, 1325, 1590, 2385, 2650, 3975, 4770, 7950, 11925

Step-4: Factors of 23867

List of positive integer factors of 23867 that divides 23850 without a remainder.

1, 29, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23850 and 23867. The biggest common factor number is the GCF number.
So the greatest common factor 23850 and 23867 is 1.

Also check out the Least Common Multiple of 23850 and 23867