What is the Greatest Common Factor of 23865 and 23880?

Greatest common factor (GCF) of 23865 and 23880 is 15.

GCF(23865,23880) = 15

We will now calculate the prime factors of 23865 and 23880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23865 and 23880.

How to find the GCF of 23865 and 23880?

We will first find the prime factorization of 23865 and 23880. After we will calculate the factors of 23865 and 23880 and find the biggest common factor number .

Step-1: Prime Factorization of 23865

Prime factors of 23865 are 3, 5, 37, 43. Prime factorization of 23865 in exponential form is:

23865 = 3¹ × 5¹ × 37¹ × 43¹

Step-2: Prime Factorization of 23880

Prime factors of 23880 are 2, 3, 5, 199. Prime factorization of 23880 in exponential form is:

23880 = 2³ × 3¹ × 5¹ × 199¹

Step-3: Factors of 23865

List of positive integer factors of 23865 that divides 23865 without a remainder.

1, 3, 5, 15, 37, 43, 111, 129, 185, 215, 555, 645, 1591, 4773, 7955

Step-4: Factors of 23880

List of positive integer factors of 23880 that divides 23865 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 199, 398, 597, 796, 995, 1194, 1592, 1990, 2388, 2985, 3980, 4776, 5970, 7960, 11940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23865 and 23880. The biggest common factor number is the GCF number.
So the greatest common factor 23865 and 23880 is 15.

Also check out the Least Common Multiple of 23865 and 23880