What is the GCF of 54x5, 80x3, and 24?

Answer 1

To find the GCF (Greatest Common Factor) of the given numbers, we need to factorize each number and then find the highest power of common factors.

First, let's factorize each number:

54x^5 = 2 × 3^3 × x^5
80x^3 = 2^4 × 5 × x^3
24 = 2^3 × 3

Now, let's find the highest power of common factors:

The common factor is 2^3, which is present in all three numbers.
The powers of 3 and x are different in each number.
Therefore, the GCF of 54x^5, 80x^3, and 24 is 2^3, which is equal to 8.