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

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).

Step-2 – Factor the numbers

Factor both the numbers 54 and 89.

The factors of 54 are: $54 = 1 \times 2 \times 3 \times 3 \times 3$

The factors of 89 are: $89 = 1 \times 89$

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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Find the greatest common factor of the numbers.
54, 89

Short Answer

Step by step solution

Step-1 – Define greatest common factor

Step-2 – Factor the numbers

Step-3 – State the conclusion

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Find the greatest common factor of the numbers.54, 89

Short Answer

Step by step solution

Step-1 – Define greatest common factor

Step-2 – Factor the numbers

Step-3 – State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Logic and Functions

Statistics

Geometry

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the greatest common factor of the numbers.
54, 89