Question

In the following exercises, find the greatest common factor.

$90,150,105$

Short answer

The greatest common factor is$15$.

Step-by-step solution

Step 1. Given information

Numbers$90,150,105$

Step 2. Find Prime factorization

$$\begin{gathered} 90=2\times 3\times 3\times 5 \\ 150=2\times 3\times 5\times 5 \\ 105=3\times 5\times 7 \end{gathered}$$

Step 3. Find common terms and multiply them 

Multiplying all the prime factors common to both numbers:

$3\times 5=15$

Therefore , GCF is$15$.