What is the Greatest Common Factor of 24084 and 24096?

Greatest common factor (GCF) of 24084 and 24096 is 12.

GCF(24084,24096) = 12

We will now calculate the prime factors of 24084 and 24096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24084 and 24096.

How to find the GCF of 24084 and 24096?

We will first find the prime factorization of 24084 and 24096. After we will calculate the factors of 24084 and 24096 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 24096

Prime factors of 24096 are 2, 3, 251. Prime factorization of 24096 in exponential form is:

24096 = 2⁵ × 3¹ × 251¹

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 24096

List of positive integer factors of 24096 that divides 24084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 251, 502, 753, 1004, 1506, 2008, 3012, 4016, 6024, 8032, 12048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24084 and 24096. The biggest common factor number is the GCF number.
So the greatest common factor 24084 and 24096 is 12.

Also check out the Least Common Multiple of 24084 and 24096