What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?

∵ we are getting 5 and 8 as remainder.

Subtracting 5 and 8 from the dividends will give us the exact division.

So let’s subtract the remainder and find the HCF of numbers (largest number which divides both the number) -

We need to find HCF of 70 - 5 = 65 and 125 - 8 = 117.

Prime factorization of numbers -

65 = 5 × 13

117 = 3 × 3 × 13

HCF of given numbers = 13.