Chapter 4: Q19. (page 179)

Find the greatest common factor of the numbers.
120, 960

Short Answer

Expert verified

The greatest common factor is 120.

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 120 and 960.

The factors of 120 are: $120 = 2 \times 2 \times 2 \times 3 \times 5$

The factors of 960 are: $960 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 5$

Step-3 – State the conclusion

From the factorization it can be observed that $2 \times 2 \times 2 \times 3 \times 5$ is common in both the numbers, therefore, the greatest common factor is 120.

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Find the greatest common factor of the numbers.
120, 960

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.120, 960

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

Probability and Statistics

Decision Maths

Statistics

Theoretical and Mathematical Physics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Find the greatest common factor of the numbers.
120, 960