Question

Find the H.C.F. using the method of common factors

$\text{24 and 120}$

Answer 1

Step 1 Finding the factors of $24$

The factors of $\text{24 are 1, 2, 3, 4, 6, 8, 12 and 24}$

Step 2 Finding the factors of $120$

The factors of $\text{120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24 30, 40, 60 and 120}$

Step 3 Finding the common factors

The common factors are $\text{1, 2, 3, 4, 6, 8, 12 and 24}$

Thus, the highest common factor is $24$

Hence, the H.C.F. of $\text{24 and 120 is 24}$