2 x 2 x 2 x 3 = 24
2 x 2 x 2 x 5 x 5 = 200
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Prime factorization of 27 = 3x3x3 Prime factorization of 49 = 7x7 From the prime factorizations it is clear that gcf is 1.
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
You can find the GCF and/or the LCM of a set of numbers by comparing the prime factorizations of the individual members of the set.
The factor trees find the prime factorizations. The prime factorizations find the GCF. The GCF simplifies the fraction. 150 75,2 25,3,2 5,5,3,2 225 75,3 25,3,3 5,5,3,3 The GCF is 75 150/225 = 2/3
The prime factors of 200 are 2 and 5 or as a product of its prime factors 2*2*2*5*5 = 200