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# How are common factors useful?

Updated: 4/28/2022

Wiki User

15y ago

They are useful in reducing fractions and to simplify radicals. They are useful in reducing fractions and to simplify radicals.

Wiki User

15y ago

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Q: How are common factors useful?
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### When is it useful to use factors and multiples?

Factors are useful when you're trying to reduce fractions. Multiples are useful when you're trying to find a least common denominator.

### Why do you need to calculate common factors?

They are useful in reducing fractions to their simplest forms.

### Why are prime factors important?

They can help you to find the Lowest Common Multiple and Highest Common Factor of numbers which is useful when dealing with fractions.

### When would it be useful to know the common factors or the greatest common factor of two or more numbers?

When you need to reduce fractions to their simplest form.

### When is it useful to know about factors and multiples?

It is always useful to know about factors and multiples.

### How are common multiples useful?

They are useful in finding the least common denominators.

### How do you know whether to use common factors or multiples to solve a problem?

The hcf is useful in reducing fractions to their lowest terms and the lcm is useful in finding the lowest common denominator of fractions that have different denominators that need to be added or subtracted.

### What is the difference between common factors and greatest common factors?

The greatest common factor is the largest of the common factors.

### What are common factors of 14?

There are not common factors of 14. Common factors are factors that it and another number share - factors they have in common. A single number cannot have common factors. 14 does have factors. Its factors are 1, 2, 7, and 14. 14 and 16 have common factors of 1 and 2. 14 and 21 have common factors of 1 and 7. 14 and 31 have a common factor of 1 only, which means they are relatively prime. 14 and 70 have common factors of 1, 2, 7, and 14.

### What are the common factors of 77?

There are no common factors of 77 because there cannot be common factors without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. Examples: The common factors of 14 and 77 are 1 and 7. The common factors of 66 and 77 are 1 and 11. The common factors of 77 and 154 are 1, 7, 11, and 77.

### What are the common factors of 98 and 72?

The common factors are: 1, 2

### What does it mean for two nonzero whole numbers to be relatively prime?

It means they have no common factors. This term is really only useful for integers, preferably positive integers.