Find HCF of $36$ and $48$ using prime factorization method

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Solution

Find the HCF
Prime factorization of $36$ is $2 \times 2 \times 3 \times 3$
Prime factorization of $48$ is $2 \times 2 \times 2 \times 2 \times 3$
The common factors between $36$ and $48$ is $2 \times 2 \times 3$
So HCF of $36$ and $48$ is $12$
Hence the HCF of $36$ and $48$ is $12$

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