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Method 1:

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Factor the each monomial.

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25a 5 · 5 · a

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30b =  2 · 3 · 5 · b  

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The GCF is the product of the common prime factors in each monomial.

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GCF = 5

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The greatest common factor of 25a and 30b is 5.\"\"

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The greatest common factor of 25a and 30b is 5.