simpfy 18/24 using the gcf

To simplify 18/24 using the greatest common factor (GCF), we need to find the largest number that divides both 18 and 24 evenly.

The prime factorization of 18 is 2 * 3^2.
The prime factorization of 24 is 2^3 * 3.

The common factors between 18 and 24 are 2 and 3.
The highest power of 2 that divides into both numbers is 2.
The highest power of 3 that divides into both numbers is 1.

Therefore, the GCF is 2 * 3^1 = 6.

To simplify 18/24, we can divide both the numerator and denominator by 6:
18/6 = 3
24/6 = 4

Therefore, the simplified form of 18/24 is 3/4.