What is the Greatest Common Factor of 23850 and 23868?

Greatest common factor (GCF) of 23850 and 23868 is 18.

GCF(23850,23868) = 18

We will now calculate the prime factors of 23850 and 23868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23850 and 23868.

How to find the GCF of 23850 and 23868?

We will first find the prime factorization of 23850 and 23868. After we will calculate the factors of 23850 and 23868 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 23868

Prime factors of 23868 are 2, 3, 13, 17. Prime factorization of 23868 in exponential form is:

23868 = 2² × 3³ × 13¹ × 17¹

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 23868

List of positive integer factors of 23868 that divides 23850 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 27, 34, 36, 39, 51, 52, 54, 68, 78, 102, 108, 117, 153, 156, 204, 221, 234, 306, 351, 442, 459, 468, 612, 663, 702, 884, 918, 1326, 1404, 1836, 1989, 2652, 3978, 5967, 7956, 11934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23850 and 23868. The biggest common factor number is the GCF number.
So the greatest common factor 23850 and 23868 is 18.

Also check out the Least Common Multiple of 23850 and 23868