Find the GCF of 12x+16y: Step-by-Step Factor Analysis

Question

Find the biggest common factor:

12x+16y 12x+16y

Video Solution

Step-by-Step Solution

We begin by breaking down the coefficients 12 and 16 into multiplication exercises with a multiplying factor to eventually simplify:

3×4×x+4×4×y 3\times4\times x+4\times4\times y

We then extract 4 which is the common factor:

4(3×x+4×y)=4(3x+4y) 4(3\times x+4\times y)=4(3x+4y)

Answer

4(3x+4y) 4(3x+4y)