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ANSWER

The greatest common factor is 5b.

EXPLANATION

The first expression can be rewritten as

[tex]35 {b}^{2} = 5 \times 7 \times {b}^{2} [/tex]

The second expression is rewritten as

[tex]15 {b}^{3} = 3 \times 5 {b}^{3} [/tex]

The third expression is

[tex]5b = 5 \times b[/tex]

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

[tex]GCF=5 \times b = 5b[/tex]

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