To determine what goes into both 176 and 132 evenly, we need to find the greatest common factor (GCF) of the two numbers. The prime factorization of 176 is 2^4 * 11, and the prime factorization of 132 is 2^2 * 3 * 11. To find the GCF, we identify the common prime factors and take the smallest exponent for each factor, which gives us 2^2 * 11 = 44. Therefore, 44 is the largest number that goes into both 176 and 132 evenly.
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