Question

What are the factors of the HCF of 48 and 64?

• A. 2, 4, and 6
• B. 2, 4, 8, 12, and 16
• C. 1, 2, 4, 6, 8, and 16
• D. 1, 2, 4, 8, and 16

Answer 1

The correct option is D 1, 2, 4, 8, and 16

HCF of 48 and 64:
$\begin{array}{cc}2& 48,64\\ 2& 24,32\\ 2& 12,16\\ 2& 6,8\\ & 3,4\end{array}$

There are no common factors between 3 and 4.
So, HCF = 2 × 2 × 2 × 2
= 16

Factors of 16: 1, 2, 4, 8, and 16