Multiplying the common factors together gives 2 × 2 × x = 4x. Therefore, the highest common factor of the terms is 4x.

find the common factor of the given term 16 x cube minus 4 x square 32 x

Answer: $4x$

Step-by-step solution

Step 1: Write irreducible factors of each term

We express each monomial term in its irreducible factor form by finding the prime factorisation of the numerical coefficient and splitting the variable $x$ into its individual linear factors.

Step 2: Identify the common factors

Observing the three factorised terms, the factors common to all three expressions are two factors of $2$ and one factor of $x$ .

Step 3: Multiply common factors to find the greatest common factor

Multiplying the common factors together gives $2 \times 2 \times x = 4x$ . Therefore, the highest common factor of the terms is $4x$ .

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