Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36. His work is shown below.

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66+36=3(22+12)

What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.

Question

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36. His work is shown below.

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66+36=3(22+12)

What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.

Vocaloid · Answer

So if you look at what he factored out, he factored out 3. But looking at the factors list, is there anything greater than 3 that is present in both lists?