4 Find the GCF of 44 and 64 . GCF \( = \)

To find the GCF of 44 and 64, we start by breaking down both numbers into their prime factors. The prime factorization of 44 is \(2^2 \times 11\) and for 64, it is \(2^6\). The common prime factor with the lowest exponent is \(2^2\). Therefore, the GCF is \(2^2 = 4\). You can also use the Euclidean algorithm: subtract the smaller number from the larger until they are equal, then that number is the GCF. In this case, \(64 - 44 = 20\). Continue until you get to \(4\), which wraps back into our earlier findings, confirming that the GCF of 44 and 64 is indeed \(4\). Keep these methods handy for your next number-crunching adventure!