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A number is relatively prime to a number if it has no common prime factors with that number. To calculate relative primes, we need to break 170 down into its prime factors. These are:

2, 5, 17.

Thus we want to find a number that is made up solely from multiplying 3s, 7s, 11s, 13s, 19s, 23s, 29s and 31s together.

The largest number less than 100 that meets this criteria is 99, which has prime factors of 3, 3 and 11.

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Q: What is the largest number less than 100 that is relatively prime to 170?
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