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Chapter 4: Q16. (page 179)

Find the greatest common factor of the numbers.

32, 55

Short Answer

Expert verified

There is no greatest common factor.

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).

02

Step-2 – Factor the numbers

Factor both the numbers 32 and 55.

The factors of 32 are: 32=2×2×2×2×2

The factors of 55 are: 55=5×11

03

Step-3 – State the conclusion

There are no common prime factors. However, two numbers always have 1 as a common factor. So, the GCF is 1, and the numbers are relatively prime.

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