# What is the greatest common factor of 40 and 24?

Jun 3, 2016

8

#### Explanation:

In order to find the LCM, we should found the prime numbers of the factors first.

$2 \cdot 2 \cdot 2 \cdot 5 = 40$

$3 \cdot 2 \cdot 2 \cdot 2 = 24$

The common numbers are the three 2's. by multiplying the common prime factors of the two together, we'll find the LCM

$2 \cdot 2 \cdot 2 = 8$