GCF of 5 and 85 is 5

- Find all the numbers that would divide 5 and 85 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 5 and 85, and read off the answer!

- Factors for
**5: 1, 5** - Factors for
**85: 1, 5, 17, 85**

Hence, GCf of
*5*
and
*85*
is **5**

Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (5, 85).

- The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 5 and 85 is 5, where 5 is less than both the numbers.
- If the given numbers are consecutive than GCF is always 1.
- Product of two numbers is always equal to the product of their GCF and LCM.
- The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

- Every factor of a number is an exact divisor of that number, example 1, 5 are exact divisors of 5 and 1, 5, 17, 85 are exact divisors of 85.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 5 and 85 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 5 and also of 85.

**Step 1.**Find all the numbers that would divide 5 and 85 without leaving any remainder. Starting with the number 1 upto 2 (half of 5) and 1 upto 42 (half of 85). The number 1 and the number itself are always factors of the given number.5 ÷ 1 : Remainder = 085 ÷ 1 : Remainder = 05 ÷ 5 : Remainder = 085 ÷ 5 : Remainder = 085 ÷ 17 : Remainder = 085 ÷ 85 : Remainder = 0

Hence, Factors of
*5* are **1 and 5**

And, Factors of
*85* are **1, 5, 17, and 85**

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 5 and 85.

GCF of 5 and 85 is 5.

To find the greatest number of students that could be in each row, we need to find the GCF of 5 and 85. Hence, GCF of 5 and 85 is 5.

GCF and LCM of two numbers can be related as GCF(5, 85) = ( 5 * 85 ) / LCM(5, 85) = 5.

GCF of 5 and 85 is 5.

To find the greatest number of tables that Ram can stock we need to find the GCF of 5 and 85. Hence GCF of 5 and 85 is 5. So the number of tables that can be arranged is 5.

The greatest number of servings Rubel can create would be equal to the GCF of 5 and 85. Thus GCF of 5 and 85 is 5.

The greatest number of boxes Ariel can make would be equal to GCF of 5 and 85. So the GCF of 5 and 85 is 5.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 5 and 85. So the GCF of 5 and 85 is 5.

To make the greatest number of envelopes Abir needs to find out the GCF of 5 and 85. Hence, GCF of 5 and 85 is 5.