Question

Find the GCF(Greatest Common Factor) of two monomials. 9a⁴b⁶c⁵ and 11a⁴b⁴c⁷

Answer 1

We can factorize each monomial as

`9a^4b^6c^5=9a^4b^4b^2c^5`

and

`11a^4b^4c^7=11a^4b^4c^5c^2`

To find the greastest common factor, we must take each monomial and write its prime fractorization. In our case, 11 is a prime number, so its factor are 1 and 11 only. So 1 is the common factor for 9 and 11.

Regarding to the variables, we can see that the greastest common factors are

`a^4,b^4,c^5`

Hence, the greatest common factor is

`\begin{gathered} \text{GCF}=1\cdot a^4\cdot b^4\cdot c^5 \\ or \\ \text{GCF}=a^4\cdot b^4\cdot c^5 \end{gathered}`