Is the GCF factor of any number n and 1 is n?
No, the greatest common factor (GCF) between any number, n, and 1 is always 1.
To understand why, let's recall what the GCF represents. The GCF is the largest number that divides two or more given numbers without leaving any remainder. In this case, we are considering the number n and 1.
Since 1 is the smallest positive integer, it can only be divided evenly by itself, which is 1. Consequently, the GCF between any number and 1 will always be 1, irrespective of the value of n.
To verify this, you can use the Euclidean algorithm, which is a standard method to find the GCF between two numbers. When applying the algorithm to n and 1, you will find that the remainder will always be 0, indicating that 1 is indeed the GCF.