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The prime factors of 28n are 2, 2, 7, and n.

The prime factors of 35 are 5 and 7.

The common prime factor that is known is 7. If n is 5 or a multiple of 5, the common prime factors are 5 and 7. There are two possibilities:

- If n is not 5 or a multiple of 5, the greatest common factor is 7.

- If n is 5 or a multiple of 5, the greatest common factor is 5 x 7 = 35.

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Q: What is the greatest common factor of 28n and 35?
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