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

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

User Skatsumata
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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.

User Chris Covert
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