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Which pair of numbers is relatively prime?

a) 20 and 76
b) 25 and 65
c) 46 and 87
d) 63 and 117

Respuesta :

The correct answer is: c) 46 and 87

Further explanation:

Let us define relatively prime numbers first:

"Relatively prime numbers are those numbers whose greatest common factor is 1"

So,

a) 20 and 76

[tex]20: 1,2,4,5,10,20\\76: 1,2,4,76[/tex]

The GCF is 4 so the pair is not relatively prime.

b) 25 and 65

[tex]25: 1,5,25\\65: 1,5,13,65[/tex]

The GCf is 5 so the pair is not relatively prime.

c) 46 and 87

[tex]46: 1,2,23,46\\87: 1,3,29,87[/tex]

GCF is 1 so the pair is relatively prime.

d) 63 and 117

[tex]63:1,3,7,9,21,63\\117:1,3,9,13,39, 117[/tex]

GCF is 9 so the pair is not relatively prime.

Hence, option C is correct

Keywords: Prime numbers, Relative prime numbers, Coprime numbers

Learn more about relative prime numbers at:

  • brainly.com/question/4550858
  • brainly.com/question/8358304

#LearnwithBrainly

Answer:

c

Step-by-step explanation:

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