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What is the greatest common factor of 14c^3, 70c^4, and 28c^2

User BomberBus
by
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2 Answers

1 vote
GCF is

14 {c}^(2)
User Seany
by
6.6k points
6 votes

Answer:

14c^2

Explanation:

The greatest common factor is the factor between the 3 expressions that once divided by each expression, 1 becomes the only number common to all 3. Considering all the expressions as follows (broken into all the factors that make up each expression)

14c^3 = 2 × 7 × c × c

70c^4 = 2 × 5 × 7 × c × c × c × c

28c^2 = 2 × 7 × c × c

From the above, the common factors are 2, 7, c and c,the product of these

= 2 × 7 × c × c

= 14c^2

User Boreq
by
6.5k points
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