Identify the greatest common factor of 12 and $$ 36 c x y $$.

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UpStudy AI · Accepted Answer

1. Factor the numerical coefficients:
   - $$12 = 2^2 	imes 3$$
   - $$36 = 2^2 	imes 3^2$$

2. Identify the common factors between the numerical coefficients:
   - Both have $$2^2 	imes 3$$.
   - Thus, the greatest common factor for the coefficients is $$2^2 	imes 3 = 12$$.

3. Consider the variables:
   - $$12$$ has no variables.
   - $$36 c x y$$ has the variables $$c$$, $$x$$, and $$y$$.
   - Since there are no common variable factors between the two terms, no variable part is included in the GCF.

4. The overall greatest common factor is:
   - $$\boxed{12}$$
The greatest common factor is 12.

Identify the greatest common factor of 12 and \( 36 c x y \).

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