What Is 17/31 in Simplest Form?
17/31 is already in simplest form. The top and bottom share no factor except 1, so the fraction cannot be reduced any further.
Step 1: Find the GCF of 17 and 31
List the factors of each number and pick the biggest one they share.
- Factors of 17: 1, 17
- Factors of 31: 1, 31
- Common factors: 1
The only common factor is 1, so the GCF is 1.
Step 2: Divide the Top and Bottom by the GCF
Dividing by 1 changes nothing: 17 ÷ 1 = 17 and 31 ÷ 1 = 31. That is how you know 17/31 is already as simple as it gets.
Another Way: Cancel the Shared Primes
- 17 = 17
- 31 = 31
There are no shared primes to cancel, which confirms the fraction is in simplest form.
Check the Answer
17 and 31 have no common factor except 1, so there is nothing left to cancel.
Simplify a different fraction
Type your own numerator and denominator into the Simplify Fractions Calculator.