What is the Greatest Common Factor of 24025 and 24041?

Greatest common factor (GCF) of 24025 and 24041 is 1.

GCF(24025,24041) = 1

We will now calculate the prime factors of 24025 and 24041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24025 and 24041.

How to find the GCF of 24025 and 24041?

We will first find the prime factorization of 24025 and 24041. After we will calculate the factors of 24025 and 24041 and find the biggest common factor number .

Step-1: Prime Factorization of 24025

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

24025 = 5² × 31²

Step-2: Prime Factorization of 24041

Prime factors of 24041 are 29, 829. Prime factorization of 24041 in exponential form is:

24041 = 29¹ × 829¹

Step-3: Factors of 24025

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

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

Step-4: Factors of 24041

List of positive integer factors of 24041 that divides 24025 without a remainder.

1, 29, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24025 and 24041. The biggest common factor number is the GCF number.
So the greatest common factor 24025 and 24041 is 1.

Also check out the Least Common Multiple of 24025 and 24041