What is the Greatest Common Factor of 23850 and 23864?

Greatest common factor (GCF) of 23850 and 23864 is 2.

GCF(23850,23864) = 2

We will now calculate the prime factors of 23850 and 23864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23850 and 23864.

How to find the GCF of 23850 and 23864?

We will first find the prime factorization of 23850 and 23864. After we will calculate the factors of 23850 and 23864 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 23864

Prime factors of 23864 are 2, 19, 157. Prime factorization of 23864 in exponential form is:

23864 = 2³ × 19¹ × 157¹

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 23864

List of positive integer factors of 23864 that divides 23850 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 157, 314, 628, 1256, 2983, 5966, 11932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23850 and 23864. The biggest common factor number is the GCF number.
So the greatest common factor 23850 and 23864 is 2.

Also check out the Least Common Multiple of 23850 and 23864