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Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

or

The factors of 30 are:

1, 2, 3, 5, 6, 10, 15, 30

The factors of 42 are:

1, 2, 3, 6, 7, 14, 21, 42

The common factors are:

1, 2, 3, 6

The Greatest Common Factor:

GCF = 6

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Related Questions

Who is the Greek mathematician who invented an easier way of finding the GCF?

Euclid is the Greek mathematician who invented an easier way of finding the GCF.


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Finding the LCM will help you add and subtract fractions. Finding the GCF will help you reduce fractions.


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Finding the GCF will help you to simplify fractions.


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The answer depends on what you are trying to achieve. there is not much point in first finding the GCF if all that you want to do is to cook some scrambled eggs!


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listing method , factor tree


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