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(4,8) and (8,12) both have a GCF of 4.

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Q: What are two pairs of numbers with the GCF of 4?
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What pairS of numbers have in common with 4 GCF?

4 and any multiple of 4 have a GCF of 4.


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There is an infinity of pairs of numbers with a GCF of 4. If p and P are two distinct primes, then 4p and 4P are such a pair. There are other ways to construct such pairs, but one infinity should suffice.


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What does it mean if two numbers are relatively prime?

Two numbers are relatively prime if they have no factors in common other than 1. This means their greatest common factor (GCF) is 1. Here are examples of pairs of numbers that are relatively prime: 2, 9 5, 14 13, 998 3, 379 37, 303 691, 701 32, 81 384, 625 Here are examples of pairs of numbers that are not relatively prime: 2, 8 (GCF: 2) 16, 1060 (GCF: 4) 52, 117 (GCF: 13)