Question
(b) Find the highest common factor (HCF) of 96 and 152
Answer
4.4
(347 Votes)
Benjamin
Master · Tutor for 5 years
Answer
The highest common factor (HCF) of 96 and 152 is
.
Explanation
## 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
. ## Step 3: The prime factorization of 152 is
.## Step 4: Next, we find the common factors shared by both of the numbers. The common factors of 96 and 152 are
.## Step 5: The highest common factor (HCF) is found by multiplying these common factors together. ###