Answer :

32

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Find the greatest common divisor (GCD) of 160 and 224.

Prime factorize 160:

  • 160 = 2⁵ * 5

Prime factorize 224:

  • 224 = 2⁵ * 7

Identify the common factors:

  • GCD(160, 224) = 2⁵ = 32

Therefore, the greatest number of children to distribute the apples and mangoes equally is 32.