Question

Find the greatest common factor 2x^2a+2xa^2

Answer 1

The GCF is

`2ax`

Explanation:

The given expression is:

`2 {x}^(2) a + 2x {a}^(2)`

We rewrite each term as product of primes to get:

`2 {x}^(2) a = 2 * {x}^(2) * a`

`2x {a}^(2)= 2 * x * {a}^(2)`

The greatest common factor is the product of the least powers of the factors common to the prime factorizations.

`GCF = 2 * x * a = 2ax`