What is the Greatest Common Factor of 24078 and 24096?

Greatest common factor (GCF) of 24078 and 24096 is 6.

GCF(24078,24096) = 6

We will now calculate the prime factors of 24078 and 24096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24078 and 24096.

How to find the GCF of 24078 and 24096?

We will first find the prime factorization of 24078 and 24096. After we will calculate the factors of 24078 and 24096 and find the biggest common factor number .

Step-1: Prime Factorization of 24078

Prime factors of 24078 are 2, 3, 4013. Prime factorization of 24078 in exponential form is:

24078 = 2¹ × 3¹ × 4013¹

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 24078

List of positive integer factors of 24078 that divides 24078 without a remainder.

1, 2, 3, 6, 4013, 8026, 12039

Step-4: Factors of 24096

List of positive integer factors of 24096 that divides 24078 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 24078 and 24096. The biggest common factor number is the GCF number.
So the greatest common factor 24078 and 24096 is 6.

Also check out the Least Common Multiple of 24078 and 24096