What is the GCF of 212x4 and 56x2?
To find the greatest common factor (GCF) of 212x4 and 56x2, we need to find the highest power of each common factor.
First, let's break down the numbers into their prime factors:
212 = 2^2 * 53
56 = 2^3 * 7
Now, let's look at the variables:
x^4
x^2
The common factor between these terms is x^2.
So, the GCF of 212x^4 and 56x^2 is 2^2 * x^2, which is equal to 4x^2.