What is GCF of 23 and 46?

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GCF of 23 and 46 is 23

How to find GCF of two numbers

Steps to find GCF of 23 and 46

Find all the numbers that would divide 23 and 46 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 23 and 46, and read off the answer!

Example: Find gcf of 23 and 46

Factors for 23: 1, 23
Factors for 46: 1, 2, 23, 46

Hence, GCf of 23 and 46 is 23

What does GCF mean in mathematics?

Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (23, 46).

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 23 and 46, such that GCF is 23 where 23 will always be less than 23 and 46.
Product of two numbers is always equal to the product of their GCF and LCM.

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

Every number is a factor of zero (0), since 23 x 0 = 0 and 46 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, 23 are exact divisors of 23 and 1, 2, 23, 46 are exact divisors of 46.
Factors of 23 are 1, 23. Each factor divides 23 without leaving a remainder.
Simlarly, factors of 46 are 1, 2, 23, 46. Each factor divides 46 without leaving a remainder.

Steps to find Factors of 23 and 46

Step 1. Find all the numbers that would divide 23 and 46 without leaving any remainder. Starting with the number 1 upto 11 (half of 23) and 1 upto 23 (half of 46). The number 1 and the number itself are always factors of the given number.

23 ÷ 1 : Remainder = 0

46 ÷ 1 : Remainder = 0

23 ÷ 23 : Remainder = 0

46 ÷ 2 : Remainder = 0

46 ÷ 23 : Remainder = 0

46 ÷ 46 : Remainder = 0

Hence, Factors of 23 are 1 and 23

And, Factors of 46 are 1, 2, 23, and 46

Examples of GCF

Sammy baked 23 chocolate cookies and 46 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 23 and 46.
GCF of 23 and 46 is 23.

A class has 23 boys and 46 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 23 and 46. Hence, GCF of 23 and 46 is 23.

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

GCF and LCM of two numbers can be related as GCF(23, 46) = ( 23 * 46 ) / LCM(23, 46) = 23.

What is the GCF of 23 and 46?

GCF of 23 and 46 is 23.

Ram has 23 cans of Pepsi and 46 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 23 and 46. Hence GCF of 23 and 46 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 23 pizzas and 46 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 23 and 46. Thus GCF of 23 and 46 is 23.

Ariel is making ready to eat meals to share with friends. She has 23 bottles of water and 46 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 23 and 46. So the GCF of 23 and 46 is 23.

Kamal is making identical balloon arrangements for a party. He has 23 maroon balloons, and 46 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 23 and 46. So the GCF of 23 and 46 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 23 bus tickets and 46 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 23 and 46. Hence, GCF of 23 and 46 is 23.