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Chapter 4: Q26. (page 179)

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

24. 64, 144

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 64 and 144.

The factors of 64 are: 64=2脳2脳2脳2脳2脳2

The factors of 144 are: 144=2脳2脳2脳2脳3脳3

03

Step-3 – State the conclusion

From the factorization it can be observed that 2脳2脳2脳2 is common in both the numbers, therefore, the greatest common factor is 16.

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Most popular questions from this chapter

Write the prime factorization of the number 200.

Tell whether the number is prime or composite. If it is composite, write its prime factorization.

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Find the GCF. Also, Find whether the numbers are relatively prime or not : 28,84

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