(b) Find the highest common factor (HCF) of 96 and 152

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(b) Find the highest common factor (HCF) of 96 and 152

Answer 1

The highest common factor (HCF) of 96 and 152 is \(8\).

Answer 2

## Step 1: First, we need to find the prime factorization of each number. Prime factorization is the process of determining the prime numbers that multiply together to make a particular number. ## Step 2: The prime factorization of 96 is \(2 \times 2 \times 2 \times 2 \times 2 \times 3\). ## Step 3: The prime factorization of 152 is \(2 \times 2 \times 2 \times 19\). ## Step 4: Next, we find the common factors shared by both of the numbers. The common factors of 96 and 152 are \(2, 2, 2\). ## Step 5: The highest common factor (HCF) is found by multiplying these common factors together. ### \(HCF = 2 \times 2 \times 2 = 8\)

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(b) Find the highest common factor (HCF) of 96 and 152

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