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One way to find common factors in math is to list the factors of the numbers you're comparing.

Example: 30 and 42

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

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

The numbers that appear on both lists (1, 2, 3, 6) are the common factors.

The largest of these (6) is the greatest common factor, or GCF.

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Q: Finding common factor in math
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What is the greatest common factor of 45 90 and 120?

Oh, what a happy little math question we have here! To find the greatest common factor of 45, 90, and 120, we first list the factors of each number. The greatest common factor is the largest number that divides evenly into all three numbers. So, the greatest common factor of 45, 90, and 120 is 15. Just like painting, math is all about finding harmony and balance!


Math definition of a common factor?

A common factor is an integer that divides evenly into two or more given numbers with no remainder.


What are all the steps to finding the greatest common factor?

Hug


What does LCD and GCF mean in math?

LCD:Lowest Common Denominator GCF:Greatest Common Factor


Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.

Related questions

How do you get the greatest common factor on a math problem?

By finding the factors in both numbers and then finding the one that is greatest in common. For example the G.C.F for 45 and 36 is 9.


Find the greater common factor of 72 and 180?

Oh, isn't finding the greatest common factor like finding a happy little tree in a forest? Let's take a look at 72 and 180. We can see that the greatest common factor of these numbers is 36. Just like adding colors to a painting, finding common factors is a way to bring harmony and simplicity to math problems.


What is the greatest common factor of 45 90 and 120?

Oh, what a happy little math question we have here! To find the greatest common factor of 45, 90, and 120, we first list the factors of each number. The greatest common factor is the largest number that divides evenly into all three numbers. So, the greatest common factor of 45, 90, and 120 is 15. Just like painting, math is all about finding harmony and balance!


What does H C F mean in math?

GREATEST common factor


What are the factors and greatest common factor for?

Finding the greatest common factor helps when you are reducing fractions.


What does HCF stand for in math?

HCF stands for Highest Common Factor. It is also known as the GCF, or Greatest Common Factor.


What is the math term GCF?

Greatest Common Factor


What is the GCF when speaking about math?

greatest common factor


What does GCF stand for in math?

Greatest Common Factor


What is the highest common factor of 98 168 and 182?

Well, isn't that a happy little math problem we have here? Let's take a look at 98, 168, and 182. When we find the factors of these numbers, we see that the highest common factor they all share is 14. Just like painting a beautiful landscape, finding the highest common factor is all about looking at the big picture and finding the common elements that bring everything together.


Math definition of a common factor?

A common factor is an integer that divides evenly into two or more given numbers with no remainder.


What careers use greatest common factor?

Math teachers