What is the Greatest Common Factor of 24025 and 24036?

Greatest common factor (GCF) of 24025 and 24036 is 1.

GCF(24025,24036) = 1

We will now calculate the prime factors of 24025 and 24036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24025 and 24036.

How to find the GCF of 24025 and 24036?

We will first find the prime factorization of 24025 and 24036. After we will calculate the factors of 24025 and 24036 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 24036

Prime factors of 24036 are 2, 3, 2003. Prime factorization of 24036 in exponential form is:

24036 = 2² × 3¹ × 2003¹

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 24036

List of positive integer factors of 24036 that divides 24025 without a remainder.

1, 2, 3, 4, 6, 12, 2003, 4006, 6009, 8012, 12018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24025 and 24036. The biggest common factor number is the GCF number.
So the greatest common factor 24025 and 24036 is 1.

Also check out the Least Common Multiple of 24025 and 24036