Find the greatest number which divides 290 and 538 leaving remainders 3 and 5 respectively.
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On dividing 290, the remainder is 5, this means the number divides 290-5=287 exactly.
Similarly, on dividing 538, the remainder is 6, meaning the number divides 538-3=533 exactly
So the number divided both 290 and 538 exacly
Factors of 290 are 1*7*41
Factors of 533 are 1*13*41
So the greatest common factor is 1*41.
Hence the greatest number of such sort is 41.
On dividing 290, the remainder is 5, this means the number divides 290-5=287 exactly.
Similarly, on dividing 538, the remainder is 6, meaning the number divides 538-3=533 exactly
So the number divided both 290 and 538 exacly
Factors of 290 are 1*7*41
Factors of 533 are 1*13*41
So the greatest common factor is 1*41.
Hence the greatest number of such sort is 41.
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