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Find the greatest common factor:14x3,70x2,105x

Short Answer

Expert verified

The greatest common factor is7x.

Step by step solution

01

Step 1. Given information.

The given expressions are:

14x3,70x2,105x

02

Step 2. Find the GCF.

Factor each coefficient into primes and write the variables with exponents in expanded form.

14x3=2·7·x·x·x70x2=2·5·7·x·x105x=3·5·7·x


Bring down the common factors, to get the GCF,

GCF is:

=7·x=7x

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