What is the Greatest Common Factor of 23864 and 23868?

Greatest common factor (GCF) of 23864 and 23868 is 4.

GCF(23864,23868) = 4

We will now calculate the prime factors of 23864 and 23868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23864 and 23868.

How to find the GCF of 23864 and 23868?

We will first find the prime factorization of 23864 and 23868. After we will calculate the factors of 23864 and 23868 and find the biggest common factor number .

Step-1: 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-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 23864

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

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

Step-4: Factors of 23868

List of positive integer factors of 23868 that divides 23864 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 23864 and 23868. The biggest common factor number is the GCF number.
So the greatest common factor 23864 and 23868 is 4.

Also check out the Least Common Multiple of 23864 and 23868