What is the Greatest Common Factor of 23850 and 23861?

Greatest common factor (GCF) of 23850 and 23861 is 1.

GCF(23850,23861) = 1

We will now calculate the prime factors of 23850 and 23861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23850 and 23861.

How to find the GCF of 23850 and 23861?

We will first find the prime factorization of 23850 and 23861. After we will calculate the factors of 23850 and 23861 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 23861

Prime factors of 23861 are 107, 223. Prime factorization of 23861 in exponential form is:

23861 = 107¹ × 223¹

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 23861

List of positive integer factors of 23861 that divides 23850 without a remainder.

1, 107, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23850 and 23861. The biggest common factor number is the GCF number.
So the greatest common factor 23850 and 23861 is 1.

Also check out the Least Common Multiple of 23850 and 23861