Question

Find the greatest common factor of these two expressions.12x^5u^8 and 18w^2x^4u^6

Answer 1

Explanations

Given the following terms

`12x^5u^8and18w^2x^4u^6`

Find the factors of each term

`\begin{gathered} 12x^5u^8=6\cdot2\cdot x^4\cdot x\cdot u^6\cdot u^2 \\ 18w^2x^4u^6=6\cdot3\cdot w^2\cdot x^4\cdot u^6 \end{gathered}`

Next is to get the common factors from both terms. From the factors derived, we can see that the common factors are 6 * x^4 * u^6

Hence the greatest common factor of these two expressions is 6x^4