What is GCF of 11 and 66?

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GCF of 11 and 66 is 11

How to find GCF of two numbers

Steps to find GCF of 11 and 66

Find all the numbers that would divide 11 and 66 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 11 and 66, and read off the answer!

Example: Find gcf of 11 and 66

Factors for 11: 1, 11
Factors for 66: 1, 2, 3, 6, 11, 22, 33, 66

Hence, GCf of 11 and 66 is 11

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 (11, 66).

Properties of GCF

The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
GCF of two consecutive numbers is always 1.
Given two numbers 11 and 66, such that GCF is 11 where 11 will always be less than 11 and 66.
Product of two numbers is always equal to the product of their GCF and LCM.

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

Every number is a factor of zero (0), since 11 x 0 = 0 and 66 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, 11 are exact divisors of 11 and 1, 2, 3, 6, 11, 22, 33, 66 are exact divisors of 66.
Factors of 11 are 1, 11. Each factor divides 11 without leaving a remainder.
Simlarly, factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. Each factor divides 66 without leaving a remainder.

Steps to find Factors of 11 and 66

Step 1. Find all the numbers that would divide 11 and 66 without leaving any remainder. Starting with the number 1 upto 5 (half of 11) and 1 upto 33 (half of 66). The number 1 and the number itself are always factors of the given number.

11 ÷ 1 : Remainder = 0

66 ÷ 1 : Remainder = 0

11 ÷ 11 : Remainder = 0

66 ÷ 2 : Remainder = 0

66 ÷ 3 : Remainder = 0

66 ÷ 6 : Remainder = 0

66 ÷ 11 : Remainder = 0

66 ÷ 22 : Remainder = 0

66 ÷ 33 : Remainder = 0

66 ÷ 66 : Remainder = 0

Hence, Factors of 11 are 1 and 11

And, Factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66

Examples of GCF

A class has 11 boys and 66 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 11 and 66. Hence, GCF of 11 and 66 is 11.

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.

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

GCF and LCM of two numbers can be related as GCF(11, 66) = ( 11 * 66 ) / LCM(11, 66) = 11.

What is the GCF of 11 and 66?

GCF of 11 and 66 is 11.

Ram has 11 cans of Pepsi and 66 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 11 and 66. Hence GCF of 11 and 66 is 11. So the number of tables that can be arranged is 11.

Rubel is creating individual servings of starters for her birthday party. He has 11 pizzas and 66 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 11 and 66. Thus GCF of 11 and 66 is 11.

Ariel is making ready to eat meals to share with friends. She has 11 bottles of water and 66 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 11 and 66. So the GCF of 11 and 66 is 11.

Mary has 11 blue buttons and 66 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 11 and 66. Hence, the GCF of 11 and 66 or the greatest arrangement is 11.

Kunal is making baskets full of nuts and dried fruits. He has 11 bags of nuts and 66 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 11 and 66. So the GCF of 11 and 66 is 11.