Question

question
identify the greatest common factor of 44by and 38.
answer

Explanation:

Step1: Factorize 44by

First, factorize the coefficient 44. We know that \(44 = 2\times22=2\times2\times11\). The term \(44by\) can be written as \(2\times2\times11\times b\times y\).

Step2: Factorize 38

Next, factorize 38. We have \(38 = 2\times19\).

Step3: Find the common factors

Now, look for the common factors between the factorizations of \(44by\) and \(38\). The only common factor (other than 1) is 2.

Answer:

2