2^4 x 3 = 48
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The prime factorization of 24 is 2 x 2 x 2 x 3. The number represented by that prime factorization is 24.
The greatest prime factor they have in common is 2.
2 x3x4 is not the prime factorization of 24 because 4 is not a prime number
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
prime factorization of 24 are 2*2*2*3