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Chapter 4: Q17. (page 179)

Find the greatest common factor of the numbers.

54, 89

Short Answer

Expert verified

The greatest common factor is 1.

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 54 and 89.

The factors of 54 are: 54=1脳2脳3脳3脳3

The factors of 89 are: 89=1脳89

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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