What Is the Greatest Common Factor of 48 72 and 120?

There are a few different ways to find the greatest common factor of three numbers. One way is to list the factors of each number and then find the largest number that is common to all three lists. Another way is to use the Euclidean algorithm.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

The greatest common factor of 48, 72, and 120 is 24.

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There are several factors of 48. The most common factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. However, there are many other potential factors, including 9, 10, 14, 18, 20, 22, 26, 27, 30, 32, 36, and 40.

It is relatively easy to find the factors of a number by using a factor tree. For example, the factor tree for 48 would look like this:

48

24

12

8

6

4

3

2

1

To find the factors of 48 using a factor tree, start at the bottom of the tree with the number 48. Then, find two numbers that 48 can be divided by evenly (in this case, 24 and 2). Next, find two numbers that 24 can be divided by evenly (12 and 2). Finally, find two numbers that 12 can be divided by evenly (6 and 2). The numbers in each level of the factor tree are the factors of the number in the level above it. Therefore, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

It is also possible to find the factors of a number by using a prime factorization. In mathematics, a prime number is a natural number greater than 1 that cannot be divided by any positive integer other than itself and 1. In other words, a prime number is a number that can only be evenly divided by 1 and itself. For example, the first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.

To find the prime factorization of 48, start by finding the smallest prime number that 48 can be divided by evenly. In this case, that number is 2. 48 divided by 2 is equal to 24.

24

12

6

3

2

1

Next, find the smallest prime number that 24 can be divided by evenly. In this case, that number is 3. 24 divided by 3 is equal to 8.

8

4

2

1

Finally, find the smallest prime number that 8 can be divided by evenly. In this case, that number is 2. 8 divided by 2 is equal to 4.

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There are many factors of 72, but the most important ones are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. These are all the factors of 72. The other factors of 72 are 10, 14, 20, 26, 28, 30, 32, 34, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, and 72. As you can see, there are many factors of 72.

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In mathematics, factors are the numbers that divide evenly into another number. For example, the factors of 6 are 1, 2, 3, and 6 because they divide evenly into 6 with no remainder. The factors of 28 are 1, 2, 4, 7, 14, and 28 because they divide evenly into 28 with no remainder.

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

There are several ways to determine the factors of a number. One way is to use a factor tree. A factor tree is a diagram that shows the factors of a number. To create a factor tree, start with the number you are trying to find the factors of. Then, find two factors of that number and write them as branches coming off of the number. For example, the factors of 30 are 1, 2, 3, 5, 10, 15, and 30. So, the factor tree for 30 would look like this:

30 / \ 1 2 /\ /\ 3 10 15

Keep going until all the factors are listed. One advantage of using a factor tree is that it can sometimes help you find the greatest common factor (GCF) or least common multiple (LCM) of a number. The GCF is the largest number that is a factor of two or more numbers. The LCM is the smallest number that is a multiple of two or more numbers.

Another way to find the factors of a number is to use a factor chart. A factor chart is a table that lists the factors of a number. To create a factor chart, start with the number you are trying to find the factors of. Then, list all of the numbers up to that number. For example, the factors of 30 are 1, 2, 3, 5, 10, 15, and 30. So, the factor chart for 30 would look like this:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Then, circle or highlight the numbers that are factors of 30. The numbers that are left are not factors of 30. One advantage of using a factor chart is that it can help you find the smallest number that is a multiple of

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There are a few different ways to find the greatest common factor of two numbers. One way is to list out the factors of each number and then look for the largest number that appears on both lists. In this case, the greatest common factor of 48 and 72 would be 24.

Another way to find the greatest common factor is to use the prime factorization method. This involves breaking each number down into its prime factors and then multiplying the common factors together. In this case, the prime factors of 48 are 2 x 2 x 2 x 2 x 3 and the prime factors of 72 are 2 x 2 x 2 x 3 x 3. The greatest common factor would be 2 x 2 x 2 x 3, or 24.

There are a few other methods that can be used to find the greatest common factor, but these are two of the most common. Ultimately, the greatest common factor of 48 and 72 is 24.

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There are a few different ways to approach finding the greatest common factor of 48 and 120. One way is to list out the factors of each number and then look for the largest number that appears on both lists. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. The greatest common factor of 48 and 120 is 24.

Another way to find the greatest common factor of 48 and 120 is to use the Euclidean algorithm. This method involves starting with the two numbers and then repeatedly dividing the larger number by the smaller number and then taking the remainder as the new smaller number. Using this method, we would get the following:

48 ÷ 120 = 0 remainder 48 120 ÷ 48 = 2 remainder 24 48 ÷ 24 = 2 remainder 0

The greatest common factor of 48 and 120 is therefore 24.

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The greatest common factor of 72 and 120 is 24. To find the greatest common factor of two numbers, you need to find the largest number that evenly divides both numbers. In this case, the largest number that evenly divides both 72 and 120 is 24.

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To find the greatest common factor of three numbers, first list the factors of each number. The greatest common factor will be the largest number that each number has in common.

For example, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The greatest common factor of 24 and 36 is 12.

To find the greatest common factor of three numbers, list the factors of each number. The greatest common factor will be the largest number that each number has in common.

For example, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The greatest common factor of 24, 36, and 48 is 12.

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What is the smallest number that is a common factor of 48, 72, and 120?

The smallest number that is a common factor of 48, 72, and 120 is 24.

To find the smallest number that is a common factor of 48, 72, and 120, we can use the greatest common factor (GCF) formula.

GCF(48, 72, 120) = GCF(48, GCF(72, 120))

GCF(48, GCF(72, 120)) = GCF(48, 24)

GCF(48, 24) = 24

Therefore, the smallest number that is a common factor of 48, 72, and 120 is 24.

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