The greatest common factor (GCF) of 18 is 6. The GCF is the largest integer that divides into two or more numbers without leaving a remainder. To find the GCF of 18, we need to look for the largest number that goes into both 18 and itself.
The first factor of 18 is 1 and the second is 2, but the third number is 3 which is the GCF we are looking for. Therefore, 6 is the GCF of 18.
How do you factor GCF?
Factoring by the Greatest Common Factor (GCF) is a simple yet effective way to simplify an expression. To do this, you must first identify the GCF of the expression by finding the biggest number that can divide into all the terms.
Once you have identified the GCF, you can then begin to factor. Depending on the expression, the GCF can usually be factored out very easily. For example, if you have the expression x2 + 8x + 18, the GCF is 2.
To factor it out, start by rewriting the expression with the GCF in front and then in parentheses, like so: (2)(x2 + 8x + 18). Then, rewrite the expression again, this time breaking apart the GCF into two factors that still multiply to the same number: (2x + 9)(x + 2).
Now you can take out the GCF and you are left with the simplified expression of 2x + 9, x + 2.
If you find that the GCF is a single number such as 7, you can factor out the GCF by dividing the common factor out of each term in the expression. For example, the expression 3×2 + 21x + 14 can be rewritten as (7)(3×2 + 21x + 14), and then rewritten again as (7)(3x + 6)(x + 2).
After the GCF has been factored out, you are left with the simplified expression of 3x + 6, x + 2.
Factoring by the GCF is a great tool for simplifying expressions and can be done with any expression with multiple terms. If you can identify the Greatest Common Factor and it is not a single number, you can easily factor it out and simplify the expression.
Is GCF and factor the same?
No, GCF (Greatest Common Factor) and factor are not the same. Factors are all numbers that can be divided into a given number. The greatest common factor (GCF) is the largest factor that two or more numbers share in common.
Factors are numbers that are multiplied together to produce another number, while the GCF of two or more numbers is the greatest common number that they all share in common. For example, the factors of 12 are 1,2,3,4,6,12, while the GCF of 12, 8, and 16 is 4.
What is 18 as a product of its prime factors?
18 can be written as a product of its prime factors as 2 x 3 x 3. 18 can be divided evenly by 2, so 2 goes into the product first. After that, the remaining number (9) is a prime number so it can’t be divided any further, so 3 is included twice in the product.
Therefore the factors of 18 are 2 x 3 x 3.
How many factors does 8 have?
8 has four factors, which are 1, 2, 4, 8. When working out factors, you need to think of numbers which will divide exactly into 8. These are 1, as any number divided by 1 will give the same number, 2, 4 (as 8 divided by 4 is 2) and 8 itself.
It is important to remember that 1 is a factor of every number, so it is always included in the answer.
What number has 8 factors?
The number 24 has 8 factors, which are 1, 2, 3, 4, 6, 8, 12, and 24. These numbers can be broken into equal groups, where each group has an equal amount of the same number. For example, 24 can be broken into two groups of two, three groups of four, or four groups of six.
It can also be broken into one group of 24.
What is 8 and 18 lowest common factor?
The lowest common factor of 8 and 18 is 2. To find the lowest common factor, start by listing out the factors for each number. For 8, the factors are 1, 2, 4, and 8. For 18, the factors are 1, 2, 3, 6, 9, and 18.
That makes 2 the lowest common factor between 8 and 18 since it is the smallest number present in both of the lists of factors.
How many pairs are there in 18?
There are 17 pairs in 18 in total. 18 can be evenly divided by 2 to get the number 9, which can be divided by 2 again to get 4.5. Since half of a pair cannot exist, the answer is 17 pairs.
Which pair of numbers gives a sum of 18?
Two pairs of numbers which add up to 18 are 8 and 10, and 6 and 12.