Greatest Common Factor and Least Common Multiple

Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?

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Rafaela is a physical education teacher and has 25 girls and 35 boys in her class. She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?

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Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 44 cm wide and the second piece is 33 cm wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.

How wide should Jazmin cut each strip?

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Peter's Party Zone sells cups in packages of 6 and plates in packages of 8. Shaniya is hosting a birthday party for her little sister and wants to have the same number of each item.

What is the least number of packages of plates Shaniya needs to buy?

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There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards.

If Leo creates the greatest number of teams possible, how many guards will be on each team?

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