Many resources are available online for studying the prime factor decomposition of a number.
Note the choice of Computer or User which means the user can select a number to decompose into prime factors.
By choosing two trees, the highest common factor (referred to as the greatest common factor) and lowest common multiple can be found.
Once both factor trees are complete the prime factors can be dragged to the given Venn diagram and the HCF and LCM checked.
A companion blog to this on Mathematics Starters includes information on Alec McEachran’s Primitives application which provides an excellent visualisation of the prime factorisation of a number.
This WolframAlpha widget gives the prime factor decomposition and divisors of a number. The widget allows you to change the displayed number.
For two stunning vizualisations try Stephen Von Worley’s data visualization on factorization and Jeffrey Ventrella’s Composite Number Tree.