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Greatest Common Factor

Welcome to our greatest common factor category. Here you can find our posts explaining the gcf of two specific integers a and b, denoted as gcf(a,b). Also known as greatest common denominator, highest common factor and greatest common divisor, it is the largest positive whole number which divides a and b with a remainder of zero. Each post will show you the calculation using three methods in full detail: intersection of common factors, prime factorization and by means of the least common multiple. In addition, each article contains a greatest common factor calculator, and explains the use as well as the commutative property of the gcf. Last but not least, you will be shown the associative property to calculate the greatest common factor of a set of whole numbers larger than 2. Note that using our custom search form in the sidebar is much more efficient than navigating through the entire category here.