What is GCF of 69 and 115?

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GCF of 69 and 115 is 23

How to find GCF of two numbers

Steps to find GCF of 69 and 115

Find all the numbers that would divide 69 and 115 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 69 and 115, and read off the answer!

Example: Find gcf of 69 and 115

Factors for 69: 1, 3, 23, 69
Factors for 115: 1, 5, 23, 115

Hence, GCf of 69 and 115 is 23

How do you explain GCF in mathematics?

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (69, 115).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 69 and 115 is 23, where 23 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.

How can we define factors?

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

Properties of Factors

Every factor of a number is an exact divisor of that number, example 1, 3, 23, 69 are exact divisors of 69 and 1, 5, 23, 115 are exact divisors of 115.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 69 and 115 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 69 and also of 115.

Steps to find Factors of 69 and 115

Step 1. Find all the numbers that would divide 69 and 115 without leaving any remainder. Starting with the number 1 upto 34 (half of 69) and 1 upto 57 (half of 115). The number 1 and the number itself are always factors of the given number.

69 ÷ 1 : Remainder = 0

115 ÷ 1 : Remainder = 0

69 ÷ 3 : Remainder = 0

115 ÷ 5 : Remainder = 0

69 ÷ 23 : Remainder = 0

115 ÷ 23 : Remainder = 0

69 ÷ 69 : Remainder = 0

115 ÷ 115 : Remainder = 0

Hence, Factors of 69 are 1, 3, 23, and 69

And, Factors of 115 are 1, 5, 23, and 115

Examples of GCF

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

GCF and LCM of two numbers can be related as GCF(69, 115) = ( 69 * 115 ) / LCM(69, 115) = 23.

What is the GCF of 69 and 115?

GCF of 69 and 115 is 23.

Ram has 69 cans of Pepsi and 115 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 69 and 115. Hence GCF of 69 and 115 is 23. So the number of tables that can be arranged is 23.

Rubel is creating individual servings of starters for her birthday party. He has 69 pizzas and 115 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 69 and 115. Thus GCF of 69 and 115 is 23.

Ariel is making ready to eat meals to share with friends. She has 69 bottles of water and 115 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 69 and 115. So the GCF of 69 and 115 is 23.

Mary has 69 blue buttons and 115 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 69 and 115. Hence, the GCF of 69 and 115 or the greatest arrangement is 23.

Kamal is making identical balloon arrangements for a party. He has 69 maroon balloons, and 115 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 69 and 115. So the GCF of 69 and 115 is 23.

Kunal is making baskets full of nuts and dried fruits. He has 69 bags of nuts and 115 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 69 and 115. So the GCF of 69 and 115 is 23.

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 69 bus tickets and 115 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 69 and 115. Hence, GCF of 69 and 115 is 23.