To find the Highest Common Factor (HCF) of 45, 75, and 125, we need to first find the prime factors of each number. The prime factors of 45 are 3 x 3 x 5, the prime factors of 75 are 3 x 5 x 5, and the prime factors of 125 are 5 x 5 x 5. To find the HCF, we look for the common prime factors among all three numbers, which are 5. Therefore, the HCF of 45, 75, and 125 is 5.
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