What is GCF of 4412 and 28?

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GCF of 4412 and 28 is 4

How to find GCF of two numbers

Steps to find GCF of 4412 and 28

Find all the numbers that would divide 4412 and 28 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 4412 and 28, and read off the answer!

Example: Find gcf of 4412 and 28

Factors for 4412: 1, 2, 4, 1103, 2206, 4412
Factors for 28: 1, 2, 4, 7, 14, 28

Hence, GCf of 4412 and 28 is 4

How do we define GCF?

In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (4412, 28).

Properties of GCF

The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 4412 and 28 is 4, where 4 is less than both 4412 and 28.
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 do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 4412 and 28 are factors of themselves respectively.
1 is a factor of every number. Eg. 1 is a factor of 4412 and also of 28.
Every number is a factor of zero (0), since 4412 x 0 = 0 and 28 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, 1103, 2206, 4412 are exact divisors of 4412 and 1, 2, 4, 7, 14, 28 are exact divisors of 28.
Factors of 4412 are 1, 2, 4, 1103, 2206, 4412. Each factor divides 4412 without leaving a remainder.
Simlarly, factors of 28 are 1, 2, 4, 7, 14, 28. Each factor divides 28 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 1103, 2206, 4412 are all less than or equal to 4412 and 1, 2, 4, 7, 14, 28 are all less than or equal to 28.

Steps to find Factors of 4412 and 28

Step 1. Find all the numbers that would divide 4412 and 28 without leaving any remainder. Starting with the number 1 upto 2206 (half of 4412) and 1 upto 14 (half of 28). The number 1 and the number itself are always factors of the given number.

4412 ÷ 1 : Remainder = 0

28 ÷ 1 : Remainder = 0

4412 ÷ 2 : Remainder = 0

28 ÷ 2 : Remainder = 0

4412 ÷ 4 : Remainder = 0

28 ÷ 4 : Remainder = 0

4412 ÷ 1103 : Remainder = 0

28 ÷ 7 : Remainder = 0

4412 ÷ 2206 : Remainder = 0

28 ÷ 14 : Remainder = 0

4412 ÷ 4412 : Remainder = 0

28 ÷ 28 : Remainder = 0

Hence, Factors of 4412 are 1, 2, 4, 1103, 2206, and 4412

And, Factors of 28 are 1, 2, 4, 7, 14, and 28

Examples of GCF

A class has 4412 boys and 28 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 4412 and 28. Hence, GCF of 4412 and 28 is 4.

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(4412, 28) = ( 4412 * 28 ) / LCM(4412, 28) = 4.

What is the GCF of 4412 and 28?

GCF of 4412 and 28 is 4.

Ram has 4412 cans of Pepsi and 28 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 4412 and 28. Hence GCF of 4412 and 28 is 4. So the number of tables that can be arranged is 4.

Rubel is creating individual servings of starters for her birthday party. He has 4412 pizzas and 28 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 4412 and 28. Thus GCF of 4412 and 28 is 4.

Ariel is making ready to eat meals to share with friends. She has 4412 bottles of water and 28 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 4412 and 28. So the GCF of 4412 and 28 is 4.

Mary has 4412 blue buttons and 28 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 4412 and 28. Hence, the GCF of 4412 and 28 or the greatest arrangement is 4.

Kunal is making baskets full of nuts and dried fruits. He has 4412 bags of nuts and 28 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 4412 and 28. So the GCF of 4412 and 28 is 4.