SOLUTION: Consider the integers 𝑚 = 2^3 and 3^2 × 5^3 × 7^4× 11^2 × 13^5 × 17^4 and 𝑛 = 2^5 × 7^8 × 19^9. Note that 2^3 is a factor of both m and n. Show that 2^3is a factor

Question 1192954: Consider the integers 𝑚 = 2^3 and 3^2 × 5^3 × 7^4× 11^2 × 13^5 × 17^4 and 𝑛 = 2^5 × 7^8 × 19^9.
Note that 2^3 is a factor of both m and n. Show that 2^3is a factor of m+n.
All steps must be shown and connected to all information provided in the expressions. No credit is given if explanations are not provided.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

Common factor of addends is a factor of the sum, ALWAYS.

It is what you need to know and to apply in this special case to get your answer.

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