Dr. 18 M -24N using the GCF

To find the greatest common factor (GCF) of 18 and 24, we can use prime factorization.

Step 1: Prime factorize both numbers:

18 = 2 * 3^2
24 = 2^3 * 3

Step 2: Identify the common prime factors and their smallest exponent:

2^1 and 3^1 are common factors.

Step 3: Multiply the common factors:

GCF = 2^1 * 3^1 = 2 * 3 = 6

Therefore, the GCF of 18 and 24 is 6.