What is GCF of 129 and 215?

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GCF of 129 and 215 is 43

How to find GCF of two numbers

Steps to find GCF of 129 and 215

Find all the numbers that would divide 129 and 215 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 129 and 215, and read off the answer!

Example: Find gcf of 129 and 215

Factors for 129: 1, 3, 43, 129
Factors for 215: 1, 5, 43, 215

Hence, GCf of 129 and 215 is 43

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 (129, 215).

Properties of GCF

The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 129 and 215 is 43, where 43 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, 43, 129 are exact divisors of 129 and 1, 5, 43, 215 are exact divisors of 215.
Every number other than 1 has at least two factors, namely the number itself and 1.
Each number is a factor of itself. Eg. 129 and 215 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 129 and also of 215.

Steps to find Factors of 129 and 215

Step 1. Find all the numbers that would divide 129 and 215 without leaving any remainder. Starting with the number 1 upto 64 (half of 129) and 1 upto 107 (half of 215). The number 1 and the number itself are always factors of the given number.

129 ÷ 1 : Remainder = 0

215 ÷ 1 : Remainder = 0

129 ÷ 3 : Remainder = 0

215 ÷ 5 : Remainder = 0

129 ÷ 43 : Remainder = 0

215 ÷ 43 : Remainder = 0

129 ÷ 129 : Remainder = 0

215 ÷ 215 : Remainder = 0

Hence, Factors of 129 are 1, 3, 43, and 129

And, Factors of 215 are 1, 5, 43, and 215

Examples of GCF

Sammy baked 129 chocolate cookies and 215 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 129 and 215.
GCF of 129 and 215 is 43.

A class has 129 boys and 215 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 129 and 215. Hence, GCF of 129 and 215 is 43.

What is the difference between GCF and LCM?

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.

Ram has 129 cans of Pepsi and 215 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 129 and 215. Hence GCF of 129 and 215 is 43. So the number of tables that can be arranged is 43.

Ariel is making ready to eat meals to share with friends. She has 129 bottles of water and 215 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 129 and 215. So the GCF of 129 and 215 is 43.

Mary has 129 blue buttons and 215 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 129 and 215. Hence, the GCF of 129 and 215 or the greatest arrangement is 43.

Kamal is making identical balloon arrangements for a party. He has 129 maroon balloons, and 215 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 129 and 215. So the GCF of 129 and 215 is 43.

Kunal is making baskets full of nuts and dried fruits. He has 129 bags of nuts and 215 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 129 and 215. So the GCF of 129 and 215 is 43.

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 129 bus tickets and 215 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 129 and 215. Hence, GCF of 129 and 215 is 43.