Question

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

Answer 1

Factor of a number: The number by which the given number can be divided completely. (0.5 marks)
Prime factors of $24=2\times 2\times 2\times 2$
Prime factors of $49=7\times 7$ (1 mark)
Thus, no common prime factors between 24 and 49.
Hence, H.C.F. of 24 and 49 is 1. (0.5 marks)