Answer:
The GCF is
[tex]2ax[/tex]
Step-by-step explanation:
The given expression is:
[tex]2 {x}^{2} a + 2x {a}^{2} [/tex]
We rewrite each term as product of primes to get:
[tex]2 {x}^{2} a = 2 \times {x}^{2} \times a[/tex]
[tex]2x {a}^{2}= 2 \times x \times {a}^{2} [/tex]
The greatest common factor is the product of the least powers of the factors common to the prime factorizations.
[tex]GCF = 2 \times x \times a = 2ax[/tex]
