What is the Greatest Common Factor of 24075 and 24081?

Greatest common factor (GCF) of 24075 and 24081 is 3.

GCF(24075,24081) = 3

We will now calculate the prime factors of 24075 and 24081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24075 and 24081.

How to find the GCF of 24075 and 24081?

We will first find the prime factorization of 24075 and 24081. After we will calculate the factors of 24075 and 24081 and find the biggest common factor number .

Step-1: Prime Factorization of 24075

Prime factors of 24075 are 3, 5, 107. Prime factorization of 24075 in exponential form is:

24075 = 3² × 5² × 107¹

Step-2: Prime Factorization of 24081

Prime factors of 24081 are 3, 23, 349. Prime factorization of 24081 in exponential form is:

24081 = 3¹ × 23¹ × 349¹

Step-3: Factors of 24075

List of positive integer factors of 24075 that divides 24075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 107, 225, 321, 535, 963, 1605, 2675, 4815, 8025

Step-4: Factors of 24081

List of positive integer factors of 24081 that divides 24075 without a remainder.

1, 3, 23, 69, 349, 1047, 8027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24075 and 24081. The biggest common factor number is the GCF number.
So the greatest common factor 24075 and 24081 is 3.

Also check out the Least Common Multiple of 24075 and 24081