Respuesta :

Answer:

[tex]\large \boxed{\sf \ \ \ 3\cdot a \cdot b \ \ \ }[/tex]

Step-by-step explanation:

Hello,

First of all, let's find the factors of these two numbers and I will put in boxes the common factors.

[tex]15a^2b^2=\boxed{3}\cdot 5\cdot \boxed{a} \cdot a \cdot \boxed{b} \cdot b \\ \\ \\-24ab=(-1)\cdot 2 \cdot \boxed{3} \cdot 4 \cdot \boxed{a} \cdot \boxed{b}[/tex]

The Highest Common Factor (HCF) is found by finding all common factors and selecting the largest one. So, in this case, it gives

[tex]\large \boxed{\sf \ \ \ 3\cdot a \cdot b \ \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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