Brittany buys two submarine sandwiches for an after-school party. One sandwich is 33 inches long and the other sandwich is 11 inches long. Brittany wants to cut servings of the same length from both sandwiches, without having any sandwich left over. What is the greatest length serving that Brittany can cut?

Respuesta :

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.