5 Questions
What are factors?
Numbers that can be multiplied together to get another number
Which of the following is the definition of the greatest common factor?
The highest number that divides exactly into two or more numbers
What are common factors?
Factors that are found in both lists of factors
What are the common factors of 15, 30, and 105?
1, 3, 5, and 15
What is the purpose of finding the greatest common factor?
To simplify fractions
Study Notes
Factors and Greatest Common Factor
- A factor is a whole number that divides another number exactly without leaving a remainder.
- The greatest common factor (GCF) is the largest number that is a factor of all the given numbers.
Definition of Greatest Common Factor
- The GCF is the largest number that divides all the given numbers exactly without leaving a remainder.
Common Factors
- Common factors are the numbers that are common to all the given numbers.
- They are the factors that are shared by all the numbers.
Common Factors of 15, 30, and 105
- The common factors of 15, 30, and 105 are 1, 3, 5, and 15.
Purpose of Finding the Greatest Common Factor
- The purpose of finding the GCF is to simplify fractions, solve problems involving equivalent ratios, and to find the simplest form of a fraction.
Test your knowledge of the Greatest Common Factor with this quiz. Learn how to find factors and simplify fractions with the highest number that divides exactly into two or more numbers.
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