SOLUTION: I do not know how to figure out the Greatest Common Factor without a book. Can you help me with this problem please? Here it is 48cd & 104c^4d Thank You

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I do not know how to figure out the Greatest Common Factor without a book. Can you help me with this problem please? Here it is 48cd & 104c^4d Thank You      Log On


   

Question 207560: I do not know how to figure out the Greatest Common Factor without a book. Can you help me with this problem please? Here it is
48cd & 104c^4d
Thank You
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
48cd & 104c^4d
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Write each in prime factor form:
48cd = 2^4*3*c*d
104c^4d = 2^8*13*c^4d
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GCF = 2^4*c*d = 16cd
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, list the prime factorization of each monomial.


48cd: 2*2*2*2*3*c*d


104c%5E4d: 2*2*2*13*c*c*c*c*d


Now highlight the factors that the two expressions share in common


48cd: 2*2*2*2*3*c*d


104c%5E4d: 2*2*2*13*c*c*c*c*d


Now pick one set of these highlighted values and multiply

2*2*2*c*d=8cd

So the GCF of 48cd and 104c%5E4d is 8cd