Question

What is the HCF of 144, 104, and 160?

• A. 7
• B. 9
• C. 4
• D. 8

Answer 1

The correct option is D 8

Let us write the prime factors of 144, 104, and 160.
144 = 2$\times$2$\times$2$\times$2$\times$3$\times$3
104 = 2$\times$2$\times$2$\times$13
160 = 2$\times$2$\times$2$\times$2$\times$2$\times$5
The common factors of 144, 104, and 160 are 2$\times$2$\times$2$\times$=8
Therefore, HCF (144, 104, 160) = 8