We are asked to find odd numbers between 1000 and 1500 such that 157 is their greatest common factor. Since 157 is prime, we need only look at multiples of 157:

157x7=1099

157x8=1256

157x9=1413

These are the only multiples of 157 in the required range. The question further stipulates that...

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We are asked to find odd numbers between 1000 and 1500 such that 157 is their greatest common factor. Since 157 is prime, we need only look at multiples of 157:

157x7=1099

157x8=1256

157x9=1413

These are the only multiples of 157 in the required range. The question further stipulates that the numbers be odd, so we discard 1256.

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The numbers we seek are 1099 and 1413

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