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Example: 30 and 42

The factors of 30 are:

1, 2, 3, 5, 6, 10, 15, 30

The factors of 42 are:

1, 2, 3, 6, 7, 14, 21, 42

The common factors are:

1, 2, 3, 6

The Greatest Common Factor:

GCF = 6

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Q: How do you find the gcf of the numbers using lists of factors?
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How do you find the common factor of 2 numbers?

-- List all the factors of the first number. -- List all the factors of the second number. -- Place the lists side-by-side. -- Look to see what numbers are on both lists. There may be several of them. They are the "common factors" of the two original numbers.


How do you find the common factors of 24 and 12?

List the factors. 1,2,3,4,6,12 1,2,3,4,6,8,12,24 Write down the numbers on both lists. 1,2,3,4,6,12


How do you find HCF of a set of numbers?

List the factors of each of the numbers in the set. Write down the numbers that appear on all the lists. Choose the largest one.


How do you find GCF of the numerator and denominator?

-- The numerator is a number. -- The denominator is a number. -- Together, they comprise two numbers. Their gcf is found by using the same process you use to find the gcf of any other two numbers: -- List all the factors of the first number. -- List all the factors of the other number. -- Compare the lists. Any number that appears on both lists is a common factor of the two numbers. -- The greatest of those is the greatest common factor of the two numbers.


What is the answer LCM of 824 using lists of multiples?

At least two or more numbers are needed to find their LCM


How do you find the common factor?

"Common" means " belonging to two or more quantities." List the factors of the numbers you are comparing. The common factors appear on all the lists.


How do you work out the HCF of two numbers?

-- List all the factors of the first number.-- List all the factors of the second number.-- Find any factors that appear on both lists.-- The highest one of those is the HCF of the two original numbers.


Why does the listing method always works to find the greatest common factor?

The greatest common factor of two numbers has to show up on the lists of factors of both numbers.


What is the least common factor of 4 and 14 using lists of multiples?

You won't find common factors by using lists of multiples. The least common factor of any set of integers is 1, no matter what you use.


How do you find biggest common factor?

Write down the factors of the numbers you're comparing. Choose the largest number that appears on both lists.


How do you find a common factor?

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. One way to find them is to list all the factors of a set of numbers. Example 30 and 42 1, 2, 3, 5, 6, 10, 15, 30 1, 2, 3, 6, 7, 14, 21, 42 1, 2, 3 and 6 appear on both lists. They are the common factors of 30 and 42.


How do you find the greatest common factor of 2759 360?

Write out the factors of all the numbers. The GCF is the highest number that appears on all the lists. In this case, the GCF is 1.