What is the Greatest Common Factor of 24075 and 24084?

Greatest common factor (GCF) of 24075 and 24084 is 9.

GCF(24075,24084) = 9

We will now calculate the prime factors of 24075 and 24084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24075 and 24084.

How to find the GCF of 24075 and 24084?

We will first find the prime factorization of 24075 and 24084. After we will calculate the factors of 24075 and 24084 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 24084

Prime factors of 24084 are 2, 3, 223. Prime factorization of 24084 in exponential form is:

24084 = 2² × 3³ × 223¹

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 24084

List of positive integer factors of 24084 that divides 24075 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 6021, 8028, 12042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24075 and 24084. The biggest common factor number is the GCF number.
So the greatest common factor 24075 and 24084 is 9.

Also check out the Least Common Multiple of 24075 and 24084