What is the Greatest Common Factor of 23986 and 24005?

Greatest common factor (GCF) of 23986 and 24005 is 1.

GCF(23986,24005) = 1

We will now calculate the prime factors of 23986 and 24005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23986 and 24005.

How to find the GCF of 23986 and 24005?

We will first find the prime factorization of 23986 and 24005. After we will calculate the factors of 23986 and 24005 and find the biggest common factor number .

Step-1: Prime Factorization of 23986

Prime factors of 23986 are 2, 67, 179. Prime factorization of 23986 in exponential form is:

23986 = 2¹ × 67¹ × 179¹

Step-2: Prime Factorization of 24005

Prime factors of 24005 are 5, 4801. Prime factorization of 24005 in exponential form is:

24005 = 5¹ × 4801¹

Step-3: Factors of 23986

List of positive integer factors of 23986 that divides 23986 without a remainder.

1, 2, 67, 134, 179, 358, 11993

Step-4: Factors of 24005

List of positive integer factors of 24005 that divides 23986 without a remainder.

1, 5, 4801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23986 and 24005. The biggest common factor number is the GCF number.
So the greatest common factor 23986 and 24005 is 1.

Also check out the Least Common Multiple of 23986 and 24005