TACHS Math : Greatest common factor

Study concepts, example questions & explanations for TACHS Math

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Example Questions

Example Question #1 : Number Sense

What is the greatest common factor of \(\displaystyle 200\) and \(\displaystyle 250\)?

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 10\)

\(\displaystyle 125\)

\(\displaystyle 100\)

Correct answer:

\(\displaystyle 50\)

Explanation:

Start by listing out the factors of \(\displaystyle 200\).

\(\displaystyle 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200\)

Next, list out the factors of \(\displaystyle 250\).

\(\displaystyle 250: 1, 2, 5, 10, 25, 50, 125, 250\)

Now, find the largest factor that the two numbers share. In this case, the greatest common factor is \(\displaystyle 50\).

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