Find the greatest common factor. 12n^3,8n^3,19n^3,3n^3 Write your answer as a constant times a product of single variables raised to exponents. square

To find the greatest common factor (GCF) of the given expressions, we need to identify the highest power of each variable that appears in all the expressions.<br /><br />Given expressions:<br />$12n^{3}, 8n^{3}, 19n^{3}, 3n^{3}$<br /><br />Step 1: Identify the common variable factor.<br />The common variable factor is $n^{3}$.<br /><br />Step 2: Find the GCF of the coefficients.<br />The coefficients are 12, 8, 19, and 3. The GCF of these coefficients is 1.<br /><br />Therefore, the greatest common factor of the given expressions is $1 \cdot n^{3}$.<br /><br />Answer: $\boxed{1n^{3}}$