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What is the HCF of the following number 25 and 125?

Published in Number Theory 1 min read

The Highest Common Factor (HCF) of 25 and 125 is 25.

The provided reference confirms this, stating, "HCF of 25 and 125 is 25. hope it will be helpful to you.17-Oct-2020"

Here's a brief explanation of how to determine the HCF:

  • Understanding HCF: The HCF (also known as the Greatest Common Divisor or GCD) is the largest number that divides exactly into two or more numbers.

  • Finding the Factors:

    • Factors of 25: 1, 5, 25
    • Factors of 125: 1, 5, 25, 125
  • Identifying Common Factors: The common factors of 25 and 125 are 1, 5, and 25.

  • Determining the Highest Common Factor: The highest among these common factors is 25.

Therefore, the HCF of 25 and 125 is 25.

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