Find the Greatest Common Factor of 36 and 42
In order to find the HCF of numbers by the prime factorization method we use the following steps. Find the common prime.
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Clearly 1 2 3 and 6 are the common factors of 30 and 42.

. Finding the LCM Using Prime Factorization Another way to find the LCM of any given set of numbers is by prime factorization. Multiples of 6. HCF by Prime Factorization.
A factor tree is a tool that breaks down the number into its prime factors. Hence the HCF of 30 and 42 is 6. This can be done using a factor tree.
But 6 is the greatest of all the common factors. 18 36 54 72 90 LCM of 6 and 18 is 18. 6 12 18 24 30 36 42 Multiples of 18.
Let us understand this method using the example given below.
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