find the greatest number that divides 58 and 86 leaving a renainder of 2
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Step 1 : Subtract 2 from 58 and 86
58 - 2 = 56
86 - 2 = 84
Step 2 : Find the common factors of new numbers
56 = 2 × 2 × 2 × 7
84 = 2 × 2 × 3 × 7
Step 3 : Find HCF
Common factors = 2 × 2 × 7
= 28
∴ HCF = 28
∴ The greatest number that divides 58 and 86 leaving a renainder of 2 is 28
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