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

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Answer 1 · 2018-03-07T18:52:57

$G C F = 1$ $GCF =1$

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

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

The following are the products of the factors;

$2 = 1 \times 2$ $2 =1xx2$
$5 = 1 w w w w w \times 5$ $5 =1color(white)(wwwww)xx5$
$6 = 1 \times 2 \times 3$ $6 = 1xx2xx3$

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

Answer 2 · 2018-03-07T18:54:24

1

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

$2 \times 3 = 6$ $2xx3=6$
$5 \times 3 = 15$ $5xx3=15$
$6 \times 3 = 18$ $6xx3=18$

$2 \times 2 = 4$ $2xx2=4$
$5 \times 2 = 10$ $5xx2=10$
$6 \times 2 = 12$ $6xx2=12$

$2 \times 1 = 2$ $2xx1=2$
$5 \times 1 = 5$ $5xx1=5$
$6 \times 1 = 6$ $6xx1=6$