What is the Greatest Common Factor of 23760 and 23768?

Greatest common factor (GCF) of 23760 and 23768 is 8.

GCF(23760,23768) = 8

We will now calculate the prime factors of 23760 and 23768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23760 and 23768.

How to find the GCF of 23760 and 23768?

We will first find the prime factorization of 23760 and 23768. After we will calculate the factors of 23760 and 23768 and find the biggest common factor number .

Step-1: Prime Factorization of 23760

Prime factors of 23760 are 2, 3, 5, 11. Prime factorization of 23760 in exponential form is:

23760 = 2⁴ × 3³ × 5¹ × 11¹

Step-2: Prime Factorization of 23768

Prime factors of 23768 are 2, 2971. Prime factorization of 23768 in exponential form is:

23768 = 2³ × 2971¹

Step-3: Factors of 23760

List of positive integer factors of 23760 that divides 23760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 48, 54, 55, 60, 66, 72, 80, 88, 90, 99, 108, 110, 120, 132, 135, 144, 165, 176, 180, 198, 216, 220, 240, 264, 270, 297, 330, 360, 396, 432, 440, 495, 528, 540, 594, 660, 720, 792, 880, 990, 1080, 1188, 1320, 1485, 1584, 1980, 2160, 2376, 2640, 2970, 3960, 4752, 5940, 7920, 11880

Step-4: Factors of 23768

List of positive integer factors of 23768 that divides 23760 without a remainder.

1, 2, 4, 8, 2971, 5942, 11884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23760 and 23768. The biggest common factor number is the GCF number.
So the greatest common factor 23760 and 23768 is 8.

Also check out the Least Common Multiple of 23760 and 23768