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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

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Q: What are the ways to find the GCF of a given number?
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Related questions

How do you find a pair of numbers when the GCF is given?

To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.


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The GCF of one number is itself. To find the GCF, more than one number is needed.


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