Question

find the greatest common factor.
6y², 10y³
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Find GCF of coefficients

Factors of 6: \(1, 2, 3, 6\)
Factors of 10: \(1, 2, 5, 10\)
GCF of 6 and 10 is 2.

Step2: Find GCF of variables

For \(y^2\) and \(y^3\), the lowest exponent of \(y\) is 2, so GCF of variables is \(y^2\).

Step3: Combine GCFs

Multiply the GCF of coefficients and GCF of variables: \(2\times y^2 = 2y^2\).

Answer:

\(2y^2\)