Find the greatest common factor of 31 and 93.(1 point)
The greatest common factor (GCF), also known as the greatest common divisor (GCD), of two numbers is the largest number that divides both of them without leaving a remainder.
Since 31 is a prime number, its only positive factors are 1 and itself (31). Therefore, when looking for the greatest common factor of 31 and any other number, the possible factors can only be 1 or 31.
In the case of 93, we need to look for the factors of 93 that could be common with 31. The factors of 93 can be found by dividing 93 by whole numbers to see if they divide evenly. For example:
- 93 ÷ 1 = 93 (so, 1 is a factor)
- 93 ÷ 3 = 31 (so, 3 and 31 are factors)
Since 31 is one of the factors of 93, and 31 is a prime number, we can see that the greatest common factor of 31 and 93 is 31 itself.
Therefore, the GCF of 31 and 93 is 31.