Chapter 4: Q12. (page 179)

Find the greatest common factor of the numbers.
28, 42

Short Answer

Expert verified

The greatest common factor is 14.

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-3 – Factor the numbers

Factor both the numbers 28 and 42.

The factors of 28 are: $28 = 7 \times 2 \times 2$

The factors of 42 are: $42 = 2 \times 3 \times 7$

Step-3 – State the conclusion

From the factorization it can be observed that $7 \times 2$ is common in both the numbers, therefore, the greatest common factor is 14.

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Find the greatest common factor of the numbers.
28, 42

Short Answer

Step by step solution

Step-1 – Define greatest common factor

Step-3 – Factor the numbers

Step-3 – State the conclusion

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Find the greatest common factor of the numbers.28, 42

Short Answer

Step by step solution

Step-1 – Define greatest common factor

Step-3 – 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

Pure Maths

Probability and Statistics

Geometry

Applied Mathematics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the greatest common factor of the numbers.
28, 42