Find the highest common factor of 36 and 84 .

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answer is C.

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Detailed Solution

Concept: We will utilize the factorization method in this case to get the HCF (Highest Common Factor) of two numbers, for which we will write the factors of each of the numbers that are supplied from them. H.C.F (a,b) , where a and b are two numbers, is how it is abbreviated.
For instance:
The HCF of 4 and 12 are as follows:

Factors of

Common factors

of 4 and

The factors of both the integers 36 and 84 will first be written as follows:
factors are the following 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Selecting common factors from the factors of 36 and 84 above, factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84, as shown below:

Common factors

Twelve is the term that all common terms have in common the most.
Thus, it is safe to state

Hence, the correct answer is option 3) 12

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