What is GCF of 5 and 30?

Go back to 'All gcf of pages' >

GCF of 5 and 30 is 5

How to find GCF of two numbers

Steps to find GCF of 5 and 30

Find all the numbers that would divide 5 and 30 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 5 and 30, and read off the answer!

Example: Find gcf of 5 and 30

Factors for 5: 1, 5
Factors for 30: 1, 2, 3, 5, 6, 10, 15, 30

Hence, GCf of 5 and 30 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, 30).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 5 and 30 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, 2, 3, 5, 6, 10, 15, 30 are exact divisors of 30.
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 30 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 5 and also of 30.

Steps to find Factors of 5 and 30

Step 1. Find all the numbers that would divide 5 and 30 without leaving any remainder. Starting with the number 1 upto 2 (half of 5) and 1 upto 15 (half of 30). The number 1 and the number itself are always factors of the given number.

5 ÷ 1 : Remainder = 0

30 ÷ 1 : Remainder = 0

5 ÷ 5 : Remainder = 0

30 ÷ 2 : Remainder = 0

30 ÷ 3 : Remainder = 0

30 ÷ 5 : Remainder = 0

30 ÷ 6 : Remainder = 0

30 ÷ 10 : Remainder = 0

30 ÷ 15 : Remainder = 0

30 ÷ 30 : Remainder = 0

Hence, Factors of 5 are 1 and 5

And, Factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30

Examples of GCF

Sammy baked 5 chocolate cookies and 30 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 30.
GCF of 5 and 30 is 5.

A class has 5 boys and 30 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 30. Hence, GCF of 5 and 30 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, 30) = ( 5 * 30 ) / LCM(5, 30) = 5.

What is the GCF of 5 and 30?

GCF of 5 and 30 is 5.

Ram has 5 cans of Pepsi and 30 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 30. Hence GCF of 5 and 30 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 30 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 30. Thus GCF of 5 and 30 is 5.

Ariel is making ready to eat meals to share with friends. She has 5 bottles of water and 30 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 30. So the GCF of 5 and 30 is 5.

Kamal is making identical balloon arrangements for a party. He has 5 maroon balloons, and 30 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 30. So the GCF of 5 and 30 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 30 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 30. Hence, GCF of 5 and 30 is 5.