What is the Greatest Common Factor of 23984 and 24004?

Greatest common factor (GCF) of 23984 and 24004 is 4.

GCF(23984,24004) = 4

We will now calculate the prime factors of 23984 and 24004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23984 and 24004.

How to find the GCF of 23984 and 24004?

We will first find the prime factorization of 23984 and 24004. After we will calculate the factors of 23984 and 24004 and find the biggest common factor number .

Step-1: Prime Factorization of 23984

Prime factors of 23984 are 2, 1499. Prime factorization of 23984 in exponential form is:

23984 = 2⁴ × 1499¹

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 23984

List of positive integer factors of 23984 that divides 23984 without a remainder.

1, 2, 4, 8, 16, 1499, 2998, 5996, 11992

Step-4: Factors of 24004

List of positive integer factors of 24004 that divides 23984 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 23984 and 24004. The biggest common factor number is the GCF number.
So the greatest common factor 23984 and 24004 is 4.

Also check out the Least Common Multiple of 23984 and 24004