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jen collects toy sports cars. she has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars. What is the largest number of cars that she can have in a group?

Respuesta :

the orange cars is the largest

Answer:

224 cars.

Step-by-step explanation:

We have been given that Jen has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars.

To solve our given problem, we will find greatest common factor of 1568 and 448.

Prime factorization of 1568: [tex]2\times 2 \times 2\times2\times2\times7\times7[/tex]

Prime factorization of 448: [tex]2\times 2 \times 2\times2\times2\times2\times7[/tex]

We can see that  448 and 1568 is [tex]2\times 2 \times 2\times2\times2\times7=224[/tex]

Therefore, each group will have 224 cars.

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