Find the HCF of 24 and 36

October 6, 2026Mathematics

ScanSolve AI Answer

Answer

12

3 steps

Find the prime factorization of each number.
$24 = 2 \times 12 = 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 3 = 2^3 \times 3^1$ $36 = 6 \times 6 = (2 \times 3) \times (2 \times 3) = 2^2 \times 3^2$
Identify the common prime factors and their lowest powers.
- The common prime factors are 2 and 3.
- For the prime factor 2, the lowest power is $2^2$ (from 36).
- For the prime factor 3, the lowest power is $3^1$ (from 24).
Multiply these lowest powers to find the HCF.
$\text{HCF}(24, 36) = 2^2 \times 3^1$ $\text{HCF} = 4 \times 3$ $\text{HCF} = 12$
The HCF of 24 and 36 is $\boxed{12}$ .

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