Final answer:
To factor the expression 49-14, find the GCF which is 7, and divide both terms by this number to get 7(7 - 2).
Step-by-step explanation:
To factor the expression using the Greatest Common Factor (GCF) of the terms within the expression 49-14, we must first identify the largest number that evenly divides both terms. The GCF of 49 and 14 is 7. We then divide both terms by 7 to find the factored form.
Starting with the original expression:
We divide each term by 7:
Which simplifies to:
Therefore, the expression factored by its GCF is:
It's important to check our work to ensure that it is reasonable. In this case, if we distribute the 7 back into the parentheses, we should get the original expression, confirming that our factored expression is correct.
7(7) - 7(2) = 49 - 14