Mathematics
Grade10
Easy

Question

Find the GCF of this pair of monomials. 8a2 and 28a5

  1. 8a2
  2. 4a2
  3. 4a3
  4. 8a2

hintHint:

In this question, we have to find the GCF (Greatest Common Factor) of the monomials 8 a squared space a n d space 28 space a squared. For this firstly, we will find the factors of the monomial given then select the common factors of both. The product of the common factors will be the required GCF.

The correct answer is: 4a2


    Factors of 8a2 = 2cross times2cross times2cross timesacross timesa
    Factors of 28a5 = 2cross times2cross times7cross timesacross times across times across times across times a
    Common factors =2, 2, a, a
    So, GCF (Greatest Common Factor) = 2cross times2cross timesacross timesa =4a2

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