Question

question
identify the greatest common factor of 44abz and 8x.
answer attempt 1 out of 2
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Explanation:

Step1: Factorize 44abz

First, we factorize the coefficient 44. The prime factorization of 44 is $44 = 2\times2\times11$. So, $44abz = 2\times2\times11\times a\times b\times z$.

Step2: Factorize 8x

Next, we factorize the coefficient 8. The prime factorization of 8 is $8 = 2\times2\times2$. So, $8x = 2\times2\times2\times x$.

Step3: Find the common factors

Now, we look for the common factors in the factorizations of 44abz and 8x. The common prime factors are 2 and 2 (i.e., $2\times2$). There are no common variable factors (since 44abz has variables a, b, z and 8x has variable x).

Step4: Calculate the greatest common factor

Multiplying the common prime factors, we get $2\times2 = 4$.

Answer:

4