Find the highest common factor (HCF) of 32 and 120.

Step 1: Write down the prime factors of each number.

For 32, the prime factors are 2 x 2 x 2 x 2 x 2. For 120, the prime factors are 2 x 2 x 2 x 3 x 5.

Step 2: Identify the common prime factors.

The common prime factors are 2 x 2 x 2.

Step 3: Multiply the common prime factors together to find the HCF.

2 x 2 x 2 = 8.

So, the highest common factor (HCF) of 32 and 120 is 8.