Find the gcf and factor

To find the greatest common factor (GCF) of 54y and 24, we first need to write both numbers as products of their prime factors.

54 = 2 * 3^3
24 = 2^3 * 3

Now we can find the GCF by taking the smallest power of each prime factor that appears in both numbers. In this case, the GCF is 2 * 3 = 6.

Therefore, the GCF of 54y and 24 is 6.

Next, to factor 54y + 24, we can first factor out the GCF of 6:

6(9y + 4)

Therefore, the factored form of 54y + 24 is 6(9y + 4).