What is the GCF of 2, 5, and 6?

Mar 7, 2018

$G C F = 1$

Explanation:

$2 \mathmr{and} 5$ are prime numbers, so the only factor they have in common is $1$

$6$ shares the factor of $2$ with $2$, but apart from $1$ has no common factor with $5$

The following are the products of the factors;

$2 = 1 \times 2$
$5 = 1 \textcolor{w h i t e}{w w w w w} \times 5$
$6 = 1 \times 2 \times 3$

It is clear that the only factor they have in common is $1$

Mar 7, 2018

1

Explanation:

$1$ is the only number that can be evenly divided into all three of those numbers.

$2 \times 3 = 6$
$5 \times 3 = 15$
$6 \times 3 = 18$

$2 \times 2 = 4$
$5 \times 2 = 10$
$6 \times 2 = 12$

$2 \times 1 = 2$
$5 \times 1 = 5$
$6 \times 1 = 6$