Answer:
11 inches
Step-by-step explanation:
The greatest common factor of both measurements is 11.
Greatest common factor (GCF)
The greatest common factor is the greatest factor that numbers can share.
Prime factorization
Prime factorization is a method used to find the prime factors of a number.
Factoring 33: 11x3
Factoring 11: 11x1
The greatest common factor of 11.
Thus, the greatest length serving Brittany can cut is 11 inches.