What is the Greatest Common Factor of 23868 and 23885?

Greatest common factor (GCF) of 23868 and 23885 is 17.

GCF(23868,23885) = 17

We will now calculate the prime factors of 23868 and 23885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23868 and 23885.

How to find the GCF of 23868 and 23885?

We will first find the prime factorization of 23868 and 23885. After we will calculate the factors of 23868 and 23885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23885

Prime factors of 23885 are 5, 17, 281. Prime factorization of 23885 in exponential form is:

23885 = 5¹ × 17¹ × 281¹

Step-3: Factors of 23868

List of positive integer factors of 23868 that divides 23868 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

Step-4: Factors of 23885

List of positive integer factors of 23885 that divides 23868 without a remainder.

1, 5, 17, 85, 281, 1405, 4777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23868 and 23885. The biggest common factor number is the GCF number.
So the greatest common factor 23868 and 23885 is 17.

Also check out the Least Common Multiple of 23868 and 23885