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The greatest common denominator of any two or more whole numbers, such as 10 and 25, will always be one (1) because common denominators refers to the denominators of two or more fractions or mixed numbers, not whole numbers. So, a set of whole numbers (x,x) would have to be converted to their fraction equivalents, i.e., x/1, which will always yield a denominator of 1.

Q: What is the greatest common denominator of 10 and 25?

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A common denominator is 75.

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The factors that 10 and 25 have in common are 1 and 5. The greatest (largest) of these is 5.

25 is not a multiple of 10, so the greatest common factor would not be 10. A lower common factor would be 5, because 10, 20 and 25 all divide by 5, so 5 is the greatest common factor of 10, 20 and 25.