Find the highest common factor of 36 and 84. | vedclass

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Question

(C) To find the highest common factor $(HCF)$ of $36$ and $84$,we perform prime factorization for both numbers:$36 = 2 	imes 2 	imes 3 	imes 3 = 2^

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(C) To find the highest common factor $(HCF)$ of $36$ and $84$,we perform prime factorization for both numbers:$36 = 2 	imes 2 	imes 3 	imes 3 = 2^2 	imes 3^2$$84 = 2 	imes 2 	imes 3 	imes 7 = 2^2 	imes 3^1 	imes 7^1$The $HCF$ is the product of the lowest powers of common prime factors:$HCF = 2^2 	imes 3^1 = 4 	imes 3 = 12$Therefore,the highest common factor of $36$ and $84$ is $12$.

Find the highest common factor of $36$ and $84.$

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