What is the Greatest Common Factor of 24005 and 24025?

Greatest common factor (GCF) of 24005 and 24025 is 5.

GCF(24005,24025) = 5

We will now calculate the prime factors of 24005 and 24025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24005 and 24025.

How to find the GCF of 24005 and 24025?

We will first find the prime factorization of 24005 and 24025. After we will calculate the factors of 24005 and 24025 and find the biggest common factor number .

Step-1: Prime Factorization of 24005

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

24005 = 5¹ × 4801¹

Step-2: Prime Factorization of 24025

Prime factors of 24025 are 5, 31. Prime factorization of 24025 in exponential form is:

24025 = 5² × 31²

Step-3: Factors of 24005

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

1, 5, 4801

Step-4: Factors of 24025

List of positive integer factors of 24025 that divides 24005 without a remainder.

1, 5, 25, 31, 155, 775, 961, 4805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24005 and 24025. The biggest common factor number is the GCF number.
So the greatest common factor 24005 and 24025 is 5.

Also check out the Least Common Multiple of 24005 and 24025