Question

For problems 1 - 4, determine the GCF of the following monomials. problem 1: 49 20 GCF:

Answer 1

To find the greatest common factor we need to decompose the number into prime numbers

To find the GCF we see which numbers are being repited in both numbers

$\begin{gathered} 45=5\cdot3\cdot3 \\ 20=5\cdot2\cdot2 \end{gathered}$

the greatest common factor between 45 and 20 will be 5, because its the only factor after decomposing the number that repeats on both.