What is the Greatest Common Factor of 23760 and 23767?

Greatest common factor (GCF) of 23760 and 23767 is 1.

GCF(23760,23767) = 1

We will now calculate the prime factors of 23760 and 23767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23760 and 23767.

How to find the GCF of 23760 and 23767?

We will first find the prime factorization of 23760 and 23767. After we will calculate the factors of 23760 and 23767 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 23767

Prime factors of 23767 are 23767. Prime factorization of 23767 in exponential form is:

23767 = 23767¹

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 23767

List of positive integer factors of 23767 that divides 23760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23760 and 23767. The biggest common factor number is the GCF number.
So the greatest common factor 23760 and 23767 is 1.

Also check out the Least Common Multiple of 23760 and 23767