What is the Greatest Common Factor of 23760 and 23774?

Greatest common factor (GCF) of 23760 and 23774 is 2.

GCF(23760,23774) = 2

We will now calculate the prime factors of 23760 and 23774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23760 and 23774.

How to find the GCF of 23760 and 23774?

We will first find the prime factorization of 23760 and 23774. After we will calculate the factors of 23760 and 23774 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 23774

Prime factors of 23774 are 2, 11887. Prime factorization of 23774 in exponential form is:

23774 = 2¹ × 11887¹

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 23774

List of positive integer factors of 23774 that divides 23760 without a remainder.

1, 2, 11887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23760 and 23774. The biggest common factor number is the GCF number.
So the greatest common factor 23760 and 23774 is 2.

Also check out the Least Common Multiple of 23760 and 23774