Question

what is the greatest common factor of 8x and 40y?
○ 8
○ 8xy
○ 320
○ 320xy

Explanation:

Step1: Factorize 8x

To find the factors of \(8x\), we can write it as a product of its prime factors and variables. \(8x = 2\times2\times2\times x\).

Step2: Factorize 40y

For \(40y\), the prime factorization is \(40y = 2\times2\times2\times5\times y\).

Step3: Identify common factors

Now, we look for the factors that are common to both \(8x\) and \(40y\). The common prime factors are \(2\times2\times2\) (which is \(8\)), and there are no common variables (since one has \(x\) and the other has \(y\)). So the greatest common factor (GCF) is \(8\).

Answer:

A. 8