What Is the Greatest Common Factor of 9 and 12?

There are a few different ways to find the greatest common factor of 9 and 12. The most common method is to list the factors of each number and then find the largest number that appears on both lists.

The factors of 9 are 1, 3, and 9. The factors of 12 are 1, 2, 3, 4, 6, and 12. The greatest common factor of 9 and 12 is 3.

Another method is to break each number down into its prime factors. The prime factors of 9 are 3 and 3. The prime factors of 12 are 2, 2, and 3. The greatest common factor of 9 and 12 is 3.

There are a few other methods that can be used to find the greatest common factor of 9 and 12, but these are the most common.

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There are many factors of 12. Some of the more common ones are 2, 3, 4, and 6. However, there are many other factors of 12 as well.

12 is a number that is evenly divisible by many other numbers. This is because it is a multiple of 2, 3, and 4. Some of the other numbers that 12 is a multiple of are 6, 8, 9, and 12.

In mathematical terms, the factors of a number are the numbers that divide evenly into the number. For instance, the factors of 12 include 2, 3, 4, and 6. Factors are also often called divisors.

The number 12 is a multiple of 2, 3, 4, and 6. This means that these numbers all divide evenly into 12. Some of the other numbers that 12 is a multiple of are 8, 9, and 12. In mathematical terms, a multiple is a number that is divisible by another number. So, the number 12 is a multiple of the numbers 2, 3, 4, 6, 8, 9, and 12.

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In mathematics, the highest common factor (HCF) of two or more integers, when at least one of them is not zero, is the largest positive integer that divides the numbers without a remainder. For example, the HCF of 8 and 12 is 4.

The highest common factor of 9 and 12 is 3. 9 and 12 are both divisible by 3, and 3 is the largest number that they are both divisible by. Thus, 3 is the highest common factor of 9 and 12.

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The lowest common multiple of 9 and 12 is 36. The common multiples of 9 and 12 are 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756,792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836, 1872, 1908, 1944, 1980, 2016, 2052, 2088, 2124, 2160, 2196, 2232, 2268, 2304, 2340, 2376, 2412, 2448, 2484, 2520, 2556, 2592, 2628, 2664, 2700, 2736, 2772, 2808, 2844, 2880, 2916, 2952, 2988, 3024, 3060, 3096, 3132, 3168, 3204, 3240, 3276, 3312, 3348, 3384, 3420, 3456, 3492, 3528, 3564, 3600. As you can see, the lowest common multiple of 9 and 12 is 36.

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What is the greatest common divisor of 9 and 12?

The greatest common divisor (GCD) of 9 and 12 is 3.

To find the GCD of two numbers, we simply need to find the largest number that divides evenly into both numbers. In this case, the largest number that divides evenly into both 9 and 12 is 3.

We can also find the GCD by using the Euclidean algorithm, which is a method of finding the GCD of two numbers that is centuries old.

To use the Euclidean algorithm, we start by writing down the two numbers whose GCD we want to find. In this case, we write 9 and 12.

Next, we divide the larger number by the smaller number, and write down the result. In this case, we divide 9 by 3, which gives us 3.

We then take the remainder of this division (which is 0), and divide the previous divisor (3) by it. Since 3 divided by 0 is undefined, we stop here and conclude that the GCD of 9 and 12 is 3.

The Euclidean algorithm is a useful tool for finding the GCD of two numbers, but it is not the only method. There are other methods that can be used, such as the prime factorization method.

No matter which method we use, the GCD of 9 and 12 will always be 3.

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The greatest common multiple of 9 and 12 is 36.

The smallest number that is a multiple of both 9 and 12 is 36. 9 and 12 have a lot in common. Both numbers are evenly divisible by 3, and both have a final digit of 9. So when you're looking for the smallest number that is a multiple of both 9 and 12, you're really just looking for the smallest number that is a multiple of 3 and has a final digit of 9.

The number 36 is the lowest number that meets both of these criteria. Therefore, the greatest common multiple of 9 and 12 is 36.

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The highest common divisor of 9 and 12 is 3. This is because 3 is the highest number that 9 and 12 share in common. 3 is also the highest number that evenly divides both 9 and 12.

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The lowest common factor of 9 and 12 is 3. This is because 3 is the smallest number that 9 and 12 can be both divided by.

When we are looking for the LCF of two numbers, we are essentially looking for the smallest number that they can both be divided by. In order to find the LCF of 9 and 12, we must first look at their factors. The factors of 9 are 1, 3, and 9. The factors of 12 are 1, 2, 3, 4, 6, and 12. As we can see, the smallest number that 9 and 12 can both be divided by is 3.

3 is the LCF of 9 and 12.

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The greatest common factor of 3 and 9 is 3.