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To find the highest common factor (HCF) of 24 and 36, we can use several methods such as prime factorization, Euclid's algorithm, or listing factors. Here, we will use the method of prime factorization. The prime factorization of 24 is: 24 = 2 × 2 × 2 × 3 The prime factorization of 36 is: 36 = 2 × 2Read more
To find the highest common factor (HCF) of 24 and 36, we can use several methods such as prime factorization, Euclid’s algorithm, or listing factors. Here, we will use the method of prime factorization.
The prime factorization of 24 is:
24 = 2 × 2 × 2 × 3
The prime factorization of 36 is:
36 = 2 × 2 × 3 × 3
To find the HCF of 24 and 36, we need to find the highest common factor of their prime factors. We can do this by identifying the common prime factors and selecting the smallest exponent for each one.
The common prime factors of 24 and 36 are 2 and 3. The exponents of 2 in the prime factorization of 24 and 36 are 3 and 2, respectively. The exponent of 3 in the prime factorization of both numbers is 1. So, the HCF of 24 and 36 is:
HCF(24, 36) = 2^2 × 3^1 = 12
Therefore, the HCF of 24 and 36 is 12.
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