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To find the greatest common factor (GCF) of 32 and 40, we can use different methods, but one common way is to use prime factorization:
The prime factorization of 32 is 2 x 2 x 2 x 2 x 2 or 2^5
The prime factorization of 40 is 2 x 2 x 2 x 5 or 2^3 x 5
To find the GCF, we need to identify the common factors of 32 and 40, which are the prime factors they share. In this case, the common factor is 2 x 2 x 2 or 2^3, because both numbers have three factors of 2.
Therefore, the GCF of 32 and 40 is 2^3, which is 8.