Find the GCF (greatest common factor) of the following terms.
\[
\left\{11 x^{2} y, 55 x^{2} y\right\}
\]
Answer
Final Answer: The GCF of \(11x^2y\) and \(55x^2y\) is \(\boxed{11x^2y}\).
Step 1 ：Find the GCF (greatest common factor) of the following terms: \(\left\{11 x^{2} y, 55 x^{2} y\right\}\).
Step 2 ：The GCF of two terms is the largest term that divides both terms exactly. In this case, we need to find the GCF of \(11x^2y\) and \(55x^2y\).
Step 3 ：We can see that \(11x^2y\) is a factor of \(55x^2y\), so the GCF should be \(11x^2y\).
Step 4 ：The GCF of the coefficients is 11, and the powers of x and y in the GCF are 2 and 1 respectively.
Step 5 ：Therefore, the GCF of the two terms is \(11x^2y\).
Step 6 ：Final Answer: The GCF of \(11x^2y\) and \(55x^2y\) is \(\boxed{11x^2y}\).
