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

Find the biggest common factor:

12x+16y 12x+16y

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find a common factor
00:07 Factor 12 into factors 4 and 3
00:11 Factor 12 into factors 4 and 4
00:14 Mark the common factors
00:21 Take out the common factors from the parentheses
00:37 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find the biggest common factor:

12x+16y 12x+16y

2

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)

3

Final Answer

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

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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