The factors of 184 are:
1, 2, 4, 8, 23, 46, 92, 184
The factors of 207 are:
1, 3, 9, 23, 69, 207
The common factors are:
1, 23
The Greatest Common Factor:
GCF = 23
184 = 2*2*2*23207 = 3*3*23
So the only, and therefore, the greatest common factor is 23.
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 48, 72, and 96 is 24
That presumes that math class is not part of the real world, which is debatable. Finding the greatest common factor can help reduce fractions. In a practical, non-academic setting, chefs and carpenters work with fractions and might have need of this skill.
You need to find work out the factors of both 45 and 105 separately, and then find which match both numbers. 45 - 1, 3, 5, 9, 15, 45 105 - 1, 3, 5, 7, 15, 21, 35, 105 The numbers that match both 45 and 105 are 1, 3, 5, and 15. 15 would therefore be called the Greatest Common Factor (GCF).
1). List all of the factors of 16. 2). List all of the factors of 20. 3). List all of the factors of 28. 4). Make a short list, comprised of any numbers that are on all three lists. These are the common factors of 16, 20, and 28. 5). Find the greatest number on the short list. That's the greatest common factor of 16, 20, and 28. If it is not 4, then an error has crept into your work, and you are doomed to return to Step-1 and eternally repeat the process until you get 4 .
GCF The greatest common factor (or GCF, also HCF, highest common factor) of a group of positive integers is the largest positive integer by which any of the numbers can be divided to yield another integer.To find the GCF, list the factors of each of the numbers in a set, then locate the largest integer that is a factor for all of them. This is the greatest common factor.Here's an example problem : What is the GCF of 24 and 40?The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.The factors common to both are 1, 2, 4, and 8. But the greatest is, of course, 8.There can be no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers. You can also see that it is a multiple of every common factor.So rather than list ALL the factors of a number (which could be numerous), the GCF can be discovered as the product of all prime common factors. For example :For the two numbers 168 and 210, the prime factors are found by division.168 = 2 x 2 x 2 x 2 x 3 x 7420 = 2 x 2 x 3 x 5 x 7and the factors they have in common are 2, 2, 3, and 7. Multiplying yields the GCF 84. (We counted 2 twice because it appears twice in each of the numbers.)The GCF is the largest number that divides evenly into each of a given set of numbers.Euclidean AlgorithmIt is not necessary to actually list the factors of all numbers to get the GCF for only two numbers. You can use the Euclidean algorithm.(1) Divide the larger number by the smaller one.(2) If there is no remainder, the GCF is the same as the smaller number.(3) Repeat step 1 with the smaller number and the remainder.Example:GCF of 51 and 85.85/51=1 R 3451/34=1 R 1734/17=2 R 0
You need at least two numbers to find a GCF.
is 8
1,3,7,9,21,63 1,2,3,4,8,9,18,24,36,72 The factors in common are 1,3,9 The largest (greatest) common factor is 9
the greatest common factor of 28 and another number is 7 the second number is between 60 and 70 what is it show your work
8 = 1 * 8 24 = 3 * 8 GCF is 8.
To work out the greatest common factor, you need two numbers. In this case there is only one number so there is no GCF.
List the factors. 1,7 1,2,4,5,10,20 The only, and therefore the greatest common factor is 1.
1, 2, 4, 81, 2, 5, 10The GCF is 2.
There's no work to show. 24 is a factor of 48, so it has to be the GCF.
6 and 12 will work.
Two or more numbers are needed to work out their GCF
If you construct them correctly, factor trees always work to determine the prime factorization of a number. Once you compare the prime factorizations of two or more numbers, it is relatively easy to find the greatest common factor of them from there.