Maryam has collected 13 T-Shirts and 26 buttons from her favorite band. She wants to combine them into identical sets to sell, with no pieces left over. What is the greatest number of sets Maryam can make

13

Step-by-step explanation:

If Maryam has 13 T-Shirts and 26 buttons

The possible combination into identical pieces with no piece left over is determined by the Highest Common Factor of the two numbers.

To find the Highest Common Factor of 13 and 26

Express each number as a product of its prime factors.

13= 13

26 = 2 X 13

Next pick the common terms which is only 13 in this case.

H.C.F=13

The greatest number Maryam can make is 13 identical sets.