Factor 36c+30d.

Question

Write your answer as a product with a whole number greater than 1.

Answer 1

To factor the expression \( 36c + 30d \), we start by identifying the greatest common factor (GCF) of the two coefficients, 36 and 30.

1. The factors of 36 are: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \).
2. The factors of 30 are: \( 1, 2, 3, 5, 6, 10, 15, 30 \).

The common factors are \( 1, 2, 3, 6 \). The greatest common factor is \( 6 \).

Next, we can factor out the GCF from the expression:

\[ 36c + 30d = 6(6c + 5d) \]

Thus, the factored form of \( 36c + 30d \) is:

\[ \boxed{6(6c + 5d)} \]