Factor 48y+36z using the GCF.(1 point)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To factor the expression \( 48y + 36z \) using the greatest common factor (GCF), we first need to find the GCF of the coefficients 48 and 36.

  1. The factors of 48 are: \( 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 \)
  2. The factors of 36 are: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)

The greatest common factor of 48 and 36 is 12.

Now we can factor out the GCF from the expression:

\[ 48y + 36z = 12(4y + 3z) \]

So, the factored form of the expression \( 48y + 36z \) is:

\[ 12(4y + 3z) \]