What is the Greatest Common Factor of 23840 and 23850?

Greatest common factor (GCF) of 23840 and 23850 is 10.

GCF(23840,23850) = 10

We will now calculate the prime factors of 23840 and 23850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23840 and 23850.

How to find the GCF of 23840 and 23850?

We will first find the prime factorization of 23840 and 23850. After we will calculate the factors of 23840 and 23850 and find the biggest common factor number .

Step-1: Prime Factorization of 23840

Prime factors of 23840 are 2, 5, 149. Prime factorization of 23840 in exponential form is:

23840 = 2⁵ × 5¹ × 149¹

Step-2: 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-3: Factors of 23840

List of positive integer factors of 23840 that divides 23840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 149, 160, 298, 596, 745, 1192, 1490, 2384, 2980, 4768, 5960, 11920

Step-4: Factors of 23850

List of positive integer factors of 23850 that divides 23840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23840 and 23850. The biggest common factor number is the GCF number.
So the greatest common factor 23840 and 23850 is 10.

Also check out the Least Common Multiple of 23840 and 23850