What is the Greatest Common Factor of 23987 and 24004?

Greatest common factor (GCF) of 23987 and 24004 is 17.

GCF(23987,24004) = 17

We will now calculate the prime factors of 23987 and 24004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23987 and 24004.

How to find the GCF of 23987 and 24004?

We will first find the prime factorization of 23987 and 24004. After we will calculate the factors of 23987 and 24004 and find the biggest common factor number .

Step-1: Prime Factorization of 23987

Prime factors of 23987 are 17, 83. Prime factorization of 23987 in exponential form is:

23987 = 17² × 83¹

Step-2: Prime Factorization of 24004

Prime factors of 24004 are 2, 17, 353. Prime factorization of 24004 in exponential form is:

24004 = 2² × 17¹ × 353¹

Step-3: Factors of 23987

List of positive integer factors of 23987 that divides 23987 without a remainder.

1, 17, 83, 289, 1411

Step-4: Factors of 24004

List of positive integer factors of 24004 that divides 23987 without a remainder.

1, 2, 4, 17, 34, 68, 353, 706, 1412, 6001, 12002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23987 and 24004. The biggest common factor number is the GCF number.
So the greatest common factor 23987 and 24004 is 17.

Also check out the Least Common Multiple of 23987 and 24004