What is GCF of 136 and 153?

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GCF of 136 and 153 is 17

How to find GCF of two numbers

Steps to find GCF of 136 and 153

Find all the numbers that would divide 136 and 153 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 136 and 153, and read off the answer!

Example: Find gcf of 136 and 153

Factors for 136: 1, 2, 4, 8, 17, 34, 68, 136
Factors for 153: 1, 3, 9, 17, 51, 153

Hence, GCf of 136 and 153 is 17

What is GCF of two numbers?

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (136, 153).

Properties of GCF

The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 136 and 153 is 17, where 17 is less than both 136 and 153.
GCF of two consecutive numbers is always 1.
The product of GCF and LCM of two given numbers is equal to the product of two numbers.
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 without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 136 and 153 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 136 and also of 153.
Every number is a factor of zero (0), since 136 x 0 = 0 and 153 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 17, 34, 68, 136 are exact divisors of 136 and 1, 3, 9, 17, 51, 153 are exact divisors of 153.
Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. Each factor divides 136 without leaving a remainder.
Simlarly, factors of 153 are 1, 3, 9, 17, 51, 153. Each factor divides 153 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 17, 34, 68, 136 are all less than or equal to 136 and 1, 3, 9, 17, 51, 153 are all less than or equal to 153.

Steps to find Factors of 136 and 153

Step 1. Find all the numbers that would divide 136 and 153 without leaving any remainder. Starting with the number 1 upto 68 (half of 136) and 1 upto 76 (half of 153). The number 1 and the number itself are always factors of the given number.

136 ÷ 1 : Remainder = 0

153 ÷ 1 : Remainder = 0

136 ÷ 2 : Remainder = 0

153 ÷ 3 : Remainder = 0

136 ÷ 4 : Remainder = 0

153 ÷ 9 : Remainder = 0

136 ÷ 8 : Remainder = 0

153 ÷ 17 : Remainder = 0

136 ÷ 17 : Remainder = 0

153 ÷ 51 : Remainder = 0

136 ÷ 34 : Remainder = 0

153 ÷ 153 : Remainder = 0

136 ÷ 68 : Remainder = 0

136 ÷ 136 : Remainder = 0

Hence, Factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136

And, Factors of 153 are 1, 3, 9, 17, 51, and 153

Examples of GCF

Sammy baked 136 chocolate cookies and 153 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 136 and 153.
GCF of 136 and 153 is 17.

A class has 136 boys and 153 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 136 and 153. Hence, GCF of 136 and 153 is 17.

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

GCF and LCM of two numbers can be related as GCF(136, 153) = ( 136 * 153 ) / LCM(136, 153) = 17.

What is the GCF of 136 and 153?

GCF of 136 and 153 is 17.

Ram has 136 cans of Pepsi and 153 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 136 and 153. Hence GCF of 136 and 153 is 17. So the number of tables that can be arranged is 17.

Mary has 136 blue buttons and 153 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 136 and 153. Hence, the GCF of 136 and 153 or the greatest arrangement is 17.

Kamal is making identical balloon arrangements for a party. He has 136 maroon balloons, and 153 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 136 and 153. So the GCF of 136 and 153 is 17.

Kunal is making baskets full of nuts and dried fruits. He has 136 bags of nuts and 153 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 136 and 153. So the GCF of 136 and 153 is 17.

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 136 bus tickets and 153 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 136 and 153. Hence, GCF of 136 and 153 is 17.