Question

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

$\text{28 and 126}$

Answer 1

Step 1 Finding the factors of $28$

The factors of $\text{28 are 1, 2, 4, 7, 14 and 28}$

Step 2 Finding the factors of $126$

The factors of $\text{126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63 and 126}$

Step 3 Finding the common factors

The common factors are $\text{1, 2, 7 and 14}$

Thus, the highest common factor is $14$

Hence, the H.C.F. of $\text{28 and 126 is 14}$