What is the Greatest Common Factor of 23985 and 23997?

Greatest common factor (GCF) of 23985 and 23997 is 3.

GCF(23985,23997) = 3

We will now calculate the prime factors of 23985 and 23997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23985 and 23997.

How to find the GCF of 23985 and 23997?

We will first find the prime factorization of 23985 and 23997. After we will calculate the factors of 23985 and 23997 and find the biggest common factor number .

Step-1: Prime Factorization of 23985

Prime factors of 23985 are 3, 5, 13, 41. Prime factorization of 23985 in exponential form is:

23985 = 3² × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 23997

Prime factors of 23997 are 3, 19, 421. Prime factorization of 23997 in exponential form is:

23997 = 3¹ × 19¹ × 421¹

Step-3: Factors of 23985

List of positive integer factors of 23985 that divides 23985 without a remainder.

1, 3, 5, 9, 13, 15, 39, 41, 45, 65, 117, 123, 195, 205, 369, 533, 585, 615, 1599, 1845, 2665, 4797, 7995

Step-4: Factors of 23997

List of positive integer factors of 23997 that divides 23985 without a remainder.

1, 3, 19, 57, 421, 1263, 7999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23985 and 23997. The biggest common factor number is the GCF number.
So the greatest common factor 23985 and 23997 is 3.

Also check out the Least Common Multiple of 23985 and 23997