What is the Greatest Common Factor of 23984 and 24002?

Greatest common factor (GCF) of 23984 and 24002 is 2.

GCF(23984,24002) = 2

We will now calculate the prime factors of 23984 and 24002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23984 and 24002.

How to find the GCF of 23984 and 24002?

We will first find the prime factorization of 23984 and 24002. After we will calculate the factors of 23984 and 24002 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 24002

Prime factors of 24002 are 2, 11, 1091. Prime factorization of 24002 in exponential form is:

24002 = 2¹ × 11¹ × 1091¹

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 24002

List of positive integer factors of 24002 that divides 23984 without a remainder.

1, 2, 11, 22, 1091, 2182, 12001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23984 and 24002. The biggest common factor number is the GCF number.
So the greatest common factor 23984 and 24002 is 2.

Also check out the Least Common Multiple of 23984 and 24002