At the farmers market, fruit is sold in baskets. Mrs. Alvarez has 75 peaches and 60 plums. What is the greatest number of pieces of fruit that Mrs. Alvarez can put in each basket?

Mrs. Alvarez has 75 peaches and 60 plums.

If there should be the same number of fruits per basket, then we need to find the greatest common factor between 75 and 60

The factors of 75 are 1 x 3 x 5 x 5

The factors of 60 are 1 x 2 x 2 x 3 x 5

The common factors are 1 x 3 x 5 = 15

The greatest number of pieces of fruits that can be put in a box is 15.