The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the numbers 10 and 17 are both prime numbers, meaning they only have factors of 1 and themselves. Therefore, the GCF of 10 and 17 is 1, as it is the largest number that can divide both 10 and 17 without leaving a remainder.
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