To find the greatest common factor (GCF) of 31 and 93, we can check the factors of each number.
31 is a prime number, so its only factors are 1 and 31.
Now, let's find the factors of 93: 93 can be divided as follows:
- 93 is divisible by 3 (since 9 + 3 = 12, which is divisible by 3)
- Dividing, we get 93 ÷ 3 = 31.
Thus, the factors of 93 are 1, 3, 31, and 93.
The common factors of 31 and 93 are 1 and 31. The greatest of those is 31.
Therefore, the greatest common factor of 31 and 93 is 31.