What is the Greatest Common Factor of 24084 and 24099?

Greatest common factor (GCF) of 24084 and 24099 is 3.

GCF(24084,24099) = 3

We will now calculate the prime factors of 24084 and 24099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24084 and 24099.

How to find the GCF of 24084 and 24099?

We will first find the prime factorization of 24084 and 24099. After we will calculate the factors of 24084 and 24099 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24099

Prime factors of 24099 are 3, 29, 277. Prime factorization of 24099 in exponential form is:

24099 = 3¹ × 29¹ × 277¹

Step-3: Factors of 24084

List of positive integer factors of 24084 that divides 24084 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

Step-4: Factors of 24099

List of positive integer factors of 24099 that divides 24084 without a remainder.

1, 3, 29, 87, 277, 831, 8033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24084 and 24099. The biggest common factor number is the GCF number.
So the greatest common factor 24084 and 24099 is 3.

Also check out the Least Common Multiple of 24084 and 24099