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The GCF of 44 and 64 is 4.
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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
and for 64, it is
. The common prime factor with the lowest exponent is
. Therefore, the GCF is
.
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,
. Continue until you get to
, which wraps back into our earlier findings, confirming that the GCF of 44 and 64 is indeed
. Keep these methods handy for your next number-crunching adventure!