What is the Greatest Common Factor of 23880 and 23899?

Greatest common factor (GCF) of 23880 and 23899 is 1.

GCF(23880,23899) = 1

We will now calculate the prime factors of 23880 and 23899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23880 and 23899.

How to find the GCF of 23880 and 23899?

We will first find the prime factorization of 23880 and 23899. After we will calculate the factors of 23880 and 23899 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23899

Prime factors of 23899 are 23899. Prime factorization of 23899 in exponential form is:

23899 = 23899¹

Step-3: Factors of 23880

List of positive integer factors of 23880 that divides 23880 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

Step-4: Factors of 23899

List of positive integer factors of 23899 that divides 23880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23880 and 23899. The biggest common factor number is the GCF number.
So the greatest common factor 23880 and 23899 is 1.

Also check out the Least Common Multiple of 23880 and 23899