What is the highest common factor (HCF) of 24𝑎2𝑏𝑐 and 36𝑎𝑐?
Question
What is the highest common factor (HCF) of 24𝑎2𝑏𝑐 and 36𝑎𝑐?
Solution
To find the highest common factor (HCF) of 24a²bc and 36ac, follow these steps:
Step 1: Break down each term into its prime factors.
24a²bc = 2³ * 3 * a² * b * c 36ac = 2² * 3² * a * c
Step 2: Identify the common factors.
The common factors are 2², 3, a, and c.
Step 3: Multiply the common factors together to find the HCF.
HCF = 2² * 3 * a * c = 12ac
So, the highest common factor (HCF) of 24a²bc and 36ac is 12ac.
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