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The Highest Common Factor (HCF) of 48 and 180 is the largest positive integer that divides both 48 and 180 without leaving a remainder. To find the HCF, we need to find the common factors of 48 and 180 and identify the largest one. The prime factorization of 48 is 2^4 * 3, and the prime factorization of 180 is 2^2 * 3^2 * 5. The common factors are 2^2 and 3, so the HCF of 48 and 180 is 12.
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