Final answer:
To find the factor expression 54+27 using the GCF, first determine the GCF of the two numbers. Divide each number by the GCF to express it as a product of the GCF and another number. Then, combine the two expressed numbers to get the factor expression.
Step-by-step explanation:
To find the factor expression 54+27 using the GCF, we first need to determine the greatest common factor (GCF) of the two numbers, 54 and 27. The GCF is the largest number that divides both numbers evenly. In this case, the GCF of 54 and 27 is 27.
Next, we divide each number by the GCF to write it as a product of the GCF and another number:
54 divided by 27 = 2
27 divided by 27 = 1
Therefore, 54 can be expressed as 27 multiplied by 2, and 27 can be expressed as 27 multiplied by 1.
Putting it together, we have 54 + 27 = (27 * 2) + (27 * 1) = 27(2 + 1) = 27(3) = 81.