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Kiera has two pieces of thread, one $15$ feet long and the other $20$ feet long. For a sewing project, she needs to cut them up to produce many pieces of thread that are all of the same length, with no thread left over. What is the greatest length, in feet, that she can make them? $\newline$ $\_\_\_\_\_$ feet

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GCF and LCM: word problems

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Q. Kiera has two pieces of thread, one

15

feet long and the other

20

feet long. For a sewing project, she needs to cut them up to produce many pieces of thread that are all of the same length, with no thread left over. What is the greatest length, in feet, that she can make them?

\newline

\_\_\_\_\_

feet

Determine GCF: Step $1$ : Determine the greatest common factor (GCF) of the lengths of the two threads to find the longest possible identical pieces without leftovers.
Verify Calculation: Step $2$ : Verify the calculation by checking if both $15$ and $20$ can be divided evenly by the GCF, $5$ .

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