GCF of 18 and 270 is 18

- Find all the numbers that would divide 18 and 270 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 18 and 270, and read off the answer!

- Factors for
**18: 1, 2, 3, 6, 9, 18** - Factors for
**270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270**

Hence, GCf of
*18*
and
*270*
is **18**

Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (18, 270).

- Given two numbers 18 and 270, such that GCF is 18 where 18 will always be less than 18 and 270.
- GCF of two numbers is always equal to 1 in case given numbers are consecutive.
- The product of GCF and LCM of two given numbers is equal to the product of two numbers.
- The GCF of two given numbers is either 1 or the number itself if one of them is a prime number.

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

- Each number is a factor of itself. Eg. 18 and 270 are factors of themselves respectively.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 9, 18 are exact divisors of 18 and 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270 are exact divisors of 270.
- 1 is a factor of every number. Eg. 1 is a factor of 18 and also of 270.
- Every number is a factor of zero (0), since 18 x 0 = 0 and 270 x 0 = 0.

**Step 1.**Find all the numbers that would divide 18 and 270 without leaving any remainder. Starting with the number 1 upto 9 (half of 18) and 1 upto 135 (half of 270). The number 1 and the number itself are always factors of the given number.18 ÷ 1 : Remainder = 0270 ÷ 1 : Remainder = 018 ÷ 2 : Remainder = 0270 ÷ 2 : Remainder = 018 ÷ 3 : Remainder = 0270 ÷ 3 : Remainder = 018 ÷ 6 : Remainder = 0270 ÷ 5 : Remainder = 018 ÷ 9 : Remainder = 0270 ÷ 6 : Remainder = 018 ÷ 18 : Remainder = 0270 ÷ 9 : Remainder = 0270 ÷ 10 : Remainder = 0270 ÷ 15 : Remainder = 0270 ÷ 18 : Remainder = 0270 ÷ 27 : Remainder = 0270 ÷ 30 : Remainder = 0270 ÷ 45 : Remainder = 0270 ÷ 54 : Remainder = 0270 ÷ 90 : Remainder = 0270 ÷ 135 : Remainder = 0270 ÷ 270 : Remainder = 0

Hence, Factors of
*18* are **1, 2, 3, 6, 9, and 18**

And, Factors of
*270* are **1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270**

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 18 and 270.

GCF of 18 and 270 is 18.

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

GCF and LCM of two numbers can be related as GCF(18, 270) = ( 18 * 270 ) / LCM(18, 270) = 18.

GCF of 18 and 270 is 18.

To find the greatest number of tables that Ram can stock we need to find the GCF of 18 and 270. Hence GCF of 18 and 270 is 18. So the number of tables that can be arranged is 18.

The greatest number of servings Rubel can create would be equal to the GCF of 18 and 270. Thus GCF of 18 and 270 is 18.

The greatest number of boxes Ariel can make would be equal to GCF of 18 and 270. So the GCF of 18 and 270 is 18.

Greatest possible way in which Mary can arrange them in groups would be GCF of 18 and 270. Hence, the GCF of 18 and 270 or the greatest arrangement is 18.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 18 and 270. So the GCF of 18 and 270 is 18.