To determine the greatest common divisor (GCD) of the numbers 375 and 175, we follow these steps:
1. List the factors of each number:
- The factors of 375 are: 1, 3, 5, 15, 25, 75, 125, 375.
- The factors of 175 are: 1, 5, 7, 25, 35, 175.
2. Identify the common factors:
- The common factors between 375 and 175 are: 1, 5, and 25.
3. Determine the highest common factor:
- The greatest common divisor (GCD) of 375 and 175 is the highest number in the list of common factors, which is:
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\boxed{25}
$[/tex]
