# What is GCF of 5 and 85?

GCF of 5 and 85 is 5

#### How to find GCF of two numbers

 1.   Steps to find GCF of 5 and 85 2.   What is GCF of two numbers? 3.   What are Factors? 4.   Examples of GCF

### Example: Find gcf of 5 and 85

• Factors for 5: 1, 5
• Factors for 85: 1, 5, 17, 85

Hence, GCf of 5 and 85 is 5

#### Definition of GCF

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).

#### Properties of GCF

• 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.

#### What are factors?

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.

#### Properties of Factors

• 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.

#### Steps to find Factors of 5 and 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 = 0
85 ÷ 1 : Remainder = 0
5 ÷ 5 : Remainder = 0
85 ÷ 5 : Remainder = 0
85 ÷ 17 : Remainder = 0
85 ÷ 85 : Remainder = 0

Hence, Factors of 5 are 1 and 5

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

#### Examples of GCF

Sammy baked 5 chocolate cookies and 85 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?

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.

A class has 5 boys and 85 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?

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.

What is the relation between LCM and GCF (Greatest Common Factor)?

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

What is the GCF of 5 and 85?

GCF of 5 and 85 is 5.

Ram has 5 cans of Pepsi and 85 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?

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.

Rubel is creating individual servings of starters for her birthday party. He has 5 pizzas and 85 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?

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.

Ariel is making ready to eat meals to share with friends. She has 5 bottles of water and 85 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

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.

Kamal is making identical balloon arrangements for a party. He has 5 maroon balloons, and 85 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?

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 energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 5 bus tickets and 85 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

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.