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Greatest Common Factor (GCF) of 34 and 51




We here at the Fraction Calculator often determine the Greatest Common Factor (GCF) for numbers such as 34 and 51, because we use the GCF to lower the denominators of our fractions.

The Greatest Common Factor of 34 and 51 is the greatest number (factor) that you can evenly divide both 34 and 51 by.

To find the Greatest Common Factor of 34 and 51, we first have to identify all the factors of each number. Then we see which factors they have in common, and finally we pick the largest number they have in common, which is the Greatest Common Factor (GCF) of 34 and 51.

The factors of 34 are 1, 2, 17, and 34. The factors of 51 are 1, 3, 17, and 51. The highest factor they have in common is 17. Therefore, the Greatest Common Factor (GCF) of 34 and 51 is as follows:

GCF(34,51) = 17

      
      


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Greatest Common Factor (GCF) of 34 and 52
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