Edward has 48 pieces of mangoes and Aiden has 64 pieces of mangoes . They want to put them in baskets with the same number of mangoes in each basket. What if the most number of mangoes that they can put in each basket?
To find the maximum number of mangoes they can put in each basket, we need to find the greatest common divisor (GCD) of 48 and 64.
Dividing 48 by 2, we get 24.
Dividing 24 by 2, we get 12.
Dividing 12 by 2, we get 6.
Dividing 6 by 2, we get 3.
So, the prime factorization of 48 is 2^4 * 3.
Dividing 64 by 2, we get 32.
Dividing 32 by 2, we get 16.
Dividing 16 by 2, we get 8.
Dividing 8 by 2, we get 4.
Dividing 4 by 2, we get 2.
Dividing 2 by 2, we get 1.
So, the prime factorization of 64 is 2^6.
The GCD of 48 and 64 is 2^4 = 16.
Therefore, the maximum number of mangoes they can put in each basket is 16.