Find the GCF (greatest common factor) of the following terms.
{70,14xy}
To find the greatest common factor (GCF) of two terms, we need to find the highest common factor that divides both terms.
Let's start by finding the factors of 70:
70 can be divided evenly by 1, 2, 5, 7, 10, 14, 35, and 70.
Now let's find the factors of 14xy:
14xy can be divided evenly by 1, 2, 7, x, y, 14, 2x, 2y, 7x, 7y, 14x, and 14y.
From the factors we found, we can see that the only factor common to both terms is 14. Therefore, the GCF of 70 and 14xy is 14.