Question

There are40 girls and 32 boys. Each team must have the same number of girls and boys, what is the greatest number of team that can race? How many boys and girls will be on each team?

Answer 1

A factor is a number that is multiplied to give the result.

The Greatest Common Factor is the largest number that is a factor of the values considered.

In terns of Prime Factors,

40 = 2 * 2 * 2 * 5

32 = 2 * 2 * 2 * 2 * 2

These two values share (2*2*2), so that is the GCF. The GCF=8.

There can be, at most, 8 teams (note: with 5 girls and 4 boys, the other factor for each value, on each team).

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