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Chapter 4: Q22. (page 179)

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.

12, 33

Short Answer

Expert verified

The numbers are not relatively prime andthe greatest common factor is 3

Step by step solution

01

Step-1 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF).

Two or more numbers are relatively prime if their greatest common factor is 1.

02

Step-2 – Factor the numbers

Factor both the numbers 21 and 33.

The factors of 21 are: 21=3脳7

The factors of 33 are: 33=3脳11

03

Step-3 – State the conclusion

From the factorization it can be observed that 3 is common in both the numbers, therefore, the greatest common factor is 3. So, numbers are not relatively prime.

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Most popular questions from this chapter

Write all the factors of the number.

144

Factor the monomial.

36s4t

Find the greatest common factor of the monomials.

32y2,6x2y

Find the GCF. Also, Find whether the numbers are relatively prime or not : 58,60

Write the prime factorization of the number.

160
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