Question

What is the greatest common factor of 35b^2,15b^3 and 5b?

Answer 1

ANSWER

The greatest common factor is 5b.

EXPLANATION

The first expression can be rewritten as

$35 {b}^{2} = 5 \times 7 \times {b}^{2}$

The second expression is rewritten as

$15 {b}^{3} = 3 \times 5 {b}^{3}$

The third expression is

$5b = 5 \times b$

The greatest common factor is the product of the least powers of the common factors.

$GCF=5 \times b = 5b$