Question

4x², 6xy, 8y²x (Find the common factors)

Answer 1

4x²=2x
6xy=2x.3y
8y²x=2x.4y²

so it's 2x

Answer 2

concept : consider two numbers or expressions $n_1$ and $n_2$

if the numbers/expressions $n_1$ and $n_2$ are exactly divisible by the same number/expression x, then x is a common factor of $n_1$ and $n_2$.

here, 4x² , 6xy , 8y²x ; expressions are given.

we have resolve all of them at first.

4x² = 2 × 2 × x × x

6xy = 2 × 3 × x × y

8y²x = 2 × 2 × 2 × y × y × x

now check which numbers are common among them.

see highlighted part of all the given terms. these are common factors, right ?

so, common factor = 2 × x = 2x