Question

Using the prime factor method, find the H.C.F. of
(ii) $24\text{and}49$

Answer 1

(ii) Factor of a number: The number by which the given number can be divided completely.
Prime factors of $24=2\times 2\times 2\times 2$
Prime factors of $49=7\times 7$
Thus, no common prime factors between 24 and 49.
Hence, H.C.F. of 24 and 49 is 1.