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

The greatest common factor of  and is . 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 because by multiply  by , we get , showing that it's divisible. We know that no number greater than is a GCF because is equal to one of the numbers, so multiplying by anything larger than will lead to a fractional remainder when multiplying to get .