The greatest common factor (GCF) of 47 and 75 is 1.
To understand why, we first need to find the factors of both numbers. The factor of a number is any whole number that can divide that number without leaving a remainder.
For 47, since it is a prime number, its only factors are 1 and 47.
For 75, the factors are 1, 3, 5, 15, 25, and 75.
Now, we look for the common factors among these two sets. The only common factor between the two is 1. Thus, the GCF of 47 and 75 is 1.
This means that 47 and 75 do not share any other factors when listed, confirming that they are relatively prime to each other.