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Explain why the highest common factor between 2 distinct prime numbers is one

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User Ping
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2 Answers

6 votes

Answer:

The highest common factor between 2 distinct prime numbers is 1 because the only factors that creates a prime number is 1 times itself. This is only true when using full numbers. In this case, we are excluding fractions and decimals.

Explanation:

For example: 2 and 41

1 × 2= 2; Nothing else when multipled equals 2

1 × 41= 41; Nothing else when multipled equals 41

answered
User Skatsumata
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8.1k points
2 votes

Answer:

Because the only factors a prime number has is itself and one, so both prime numbers would have only themselves and one, and one is the only one they have in common.

answered
User Chris Covert
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8.1k points

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