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Prime factorization.

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

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Q: What is the easiest way to solve the GCF and LCM of a number?
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Related questions

Why do you factor?

I factor because the problem I'm solving calls for it. It's the fastest and easiest way to solve for the GCF or LCM.


Which is greater the LCM of the number or GCF of the number?

The LCM of a set of numbers will never be less than the GCF.


Which is greater the GCF of a number or the LCM of a number?

The LCM of a set of numbers will never be less than the GCF.


How do you find the other number when the one number is given with the LCM and the GCF?

The product of the original numbers is equal to the product of the GCF and LCM. Divide the product of the LCM and GCF by the one number. The answer will be the other.


Can a number have the LCM and the gcf the same number?

Only if you're comparing the number to itself. The LCM and GCF of 10 and 10 is 10.


Can the LCM and the GCF of 2 numbers be the same number?

Only if they're the same number. The LCM and GCF of 10 and 10 is 10.


When will the LCM and GCF be the same?

When you are comparing a number to itself. The GCF and LCM of 10 and 10 is 10.


How could you use the LCM and GCF of 48 and 72 to solve problems?

72,48


How do you identify the gcf and LCM of a pair of numbers if one number is a factor of the other number?

The GCF is the factor, the LCM is the other one.


What is the difference between the GCF and the LCM of 42 and 84?

Whenever one number is a multiple of the other, the LCM is the larger number and the GCF is the smaller number. The difference is 42.


What number pair has a gcf of 5 and a LCM of 60?

5 and 60 have a gcf of 5 and a LCM of 60


Can the LCM and GCF of a pair ever be the same number?

Only if you're comparing a number to itself. The GCF and LCM of 10 and 10 is 10.