Question

Shana is forming kickball teams out of all of the students that signed up from two schools. Each team must have the same number of players and be from the same school. What is the largest number of players that Shana can put on each team?

Answer 1

Answer:

45  → 3 × 3 × 5

36  → 2 × 2 × 3 × 3

GCF = 3 × 3

Team Size = 9

Step-by-step explanation:

Answer 2

The largest number of players which can Shana put on each team of kickball game is 9.

What is GCF (greatest common factor)?

GCF or greatest common factor is the common number which all the term has in a group of terms.

Shana is forming kickball teams out of all of the students that signed up from two schools.

The number of student from the school one signed up to participate in kickball team is 45. Let write this number in factor form as,

$45=3\times3\times5$

The number of student from the school two signed up to participate in kickball team is 36. Let write this number in factor form as,

$36=2\times2\times3\times3$

As each team must have the same number of players and be from the same school. Thus, for this the greatest common factor, which can be divide both the number, should be found out.

As both the number consist of the number 3 two times. Thus, the greatest common factor of two numbers is,

$\rm GCF=3\times3\\GCF=9$

Hence, the largest number of players which can Shana put on each team of kickball game is 9.

Learn more about the GCF here;

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