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The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The factors of 18 are 1, 2, 3, 6, 9, and 18.

The factors that are on both lists ... the "common" factors ... are 1, 2, 3, and 6 .

The greatest one of those is 6 .

Why do I have this nagging feeling that you're not completely sure of

what "GCF" stands for, or how to go about finding it ?

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12y ago
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9y ago

Because 6 is the largest positive integer that divides evenly into both 18 and 30 with no remainder.

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Q: Why 6 is the GCF of 30 and 18?
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