Question

What is the greatest common factor of x^6 and x^4

Answer 1

The greatest common factor of
`x^(6)` and
`x^(4)` is
`x^(4)`. We can get this answer by knowing that a GCF is the greatest number that divides a and b evenly (without a remainder). In this case, the answer is
`x^(4)` because by multiply
`x^(4)` by
`x^(2)`, we get
`x^(6)`, showing that it's divisible. We know that no number greater than
`x^(4)` is a GCF because
`x^(4)` is equal to one of the numbers, so multiplying by anything larger than
`x^(4)` will lead to a fractional remainder when multiplying to get
`x^(4)`.