Option C: [tex]x^3[/tex] is the greatest common factor of [tex]x^4[/tex] and [tex]x^3[/tex]
Explanation:
Given that the the two numbers are [tex]x^4[/tex] and [tex]x^3[/tex]
We need to determine the greatest common factor of [tex]x^4[/tex] and [tex]x^3[/tex]
Greatest common factor:
The greatest common factor of two numbers is the largest number that divides the two numbers.
First, we shall write the factors of the two numbers [tex]x^4[/tex] and [tex]x^3[/tex]
[tex]x^4=x\times x\times x\times x[/tex]
[tex]x^3=x\times x\times x[/tex]
Hence, the two numbers have the largest common factor of [tex]x\times x\times x[/tex] which is equal to [tex]x^3[/tex]
Therefore, the greatest common factor of the two numbers is [tex]x^3[/tex]
Hence, Option C is the correct answer.
