Find whether numbers are coprime 7 and 16, 81 and 13 at Algebra Den

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Home >> Numbers >> Coprime Numbers >> Examples

Coprime Numbers : Solved Examples

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Find Whether the following numbers are coprime numbers

A) 7 and 16
B) 21 and 10
C) 25 and 35
D) 81 and 13
E) 40 and 50

A) 7 and 16

First find the factor of given numbers 7 and 16

Factor of 7 are 1, 7

Factor of 16 are 1, 2, 4, 8, 16

On comparing the factors of given numbers 7 and 16,

you can see that both have only 1 as a common factor.

Hence, given numbers 7 and 16 are Coprime Numbers.

B) 21 and 10

Firstly, let's find the factor of given numbers 21 and 10

Factor of 21 are 1, 3, 7, 21

Factor of 10 are 1, 2, 5, 10

On comparing the factors of given numbers 21 and 10,

you can see that common factor in both the numbers is only 1.

Hence, given numbers 21 and 10 are Coprime Numbers.

C) 25 and 35

First find the factor of given numbers 25 and 35

Factor of 25 are 1, 5, 25

Factor of 35 are 1, 5, 7, 35

On comparing the factors of given numbers 25 and 35,

you can see that common factor are 1 and 5.

Hence, given numbers 25 and 35 are not Coprime Numbers.

D) 81 and 13

Firstly, let's find the factor of given numbers 81 and 13

Factor of 81 are 1, 3, 9, 27, 81

Factor of 13 are 1, 13

On comparing the factors of given numbers 81 and 13,

you can see that both have only one factor in common and that is 1.

Hence, it's proved that numbers 81 and 13 are Coprime Numbers.

E) 40 and 50

Let's find factor of 40 and 50 and they are:

Factor of 40 are 1, 2, 4, 5, 8, 10, 20, 40

Factor of 50 are 1, 2, 5, 10, 25, 50

Now, when we compare we notice that factors 1, 2, 5, 10 are common in list of factors of given numbers 40 and 50.

Hence, numbers 40 and 50 are not Coprime Numbers.

Related Question Examples

Find Whether the following numbers are coprime numbers

A) 7 and 16
B) 21 and 10
C) 25 and 35
D) 81 and 13
E) 40 and 50