What is GCF of 143 and 176?

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GCF of 143 and 176 is 11

How to find GCF of two numbers

Steps to find GCF of 143 and 176

Find all the numbers that would divide 143 and 176 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 143 and 176, and read off the answer!

Example: Find gcf of 143 and 176

Factors for 143: 1, 11, 13, 143
Factors for 176: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Hence, GCf of 143 and 176 is 11

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 (143, 176).

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 143 and 176, such that GCF is 11 where 11 will always be less than 143 and 176.
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 143 x 0 = 0 and 176 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, 13, 143 are exact divisors of 143 and 1, 2, 4, 8, 11, 16, 22, 44, 88, 176 are exact divisors of 176.
Factors of 143 are 1, 11, 13, 143. Each factor divides 143 without leaving a remainder.
Simlarly, factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. Each factor divides 176 without leaving a remainder.

Steps to find Factors of 143 and 176

Step 1. Find all the numbers that would divide 143 and 176 without leaving any remainder. Starting with the number 1 upto 71 (half of 143) and 1 upto 88 (half of 176). The number 1 and the number itself are always factors of the given number.

143 ÷ 1 : Remainder = 0

176 ÷ 1 : Remainder = 0

143 ÷ 11 : Remainder = 0

176 ÷ 2 : Remainder = 0

143 ÷ 13 : Remainder = 0

176 ÷ 4 : Remainder = 0

143 ÷ 143 : Remainder = 0

176 ÷ 8 : Remainder = 0

176 ÷ 11 : Remainder = 0

176 ÷ 16 : Remainder = 0

176 ÷ 22 : Remainder = 0

176 ÷ 44 : Remainder = 0

176 ÷ 88 : Remainder = 0

176 ÷ 176 : Remainder = 0

Hence, Factors of 143 are 1, 11, 13, and 143

And, Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176

Examples of GCF

Sammy baked 143 chocolate cookies and 176 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 143 and 176.
GCF of 143 and 176 is 11.

A class has 143 boys and 176 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 143 and 176. Hence, GCF of 143 and 176 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(143, 176) = ( 143 * 176 ) / LCM(143, 176) = 11.

What is the GCF of 143 and 176?

GCF of 143 and 176 is 11.

Ariel is making ready to eat meals to share with friends. She has 143 bottles of water and 176 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 143 and 176. So the GCF of 143 and 176 is 11.

Mary has 143 blue buttons and 176 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 143 and 176. Hence, the GCF of 143 and 176 or the greatest arrangement is 11.

Kamal is making identical balloon arrangements for a party. He has 143 maroon balloons, and 176 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 143 and 176. So the GCF of 143 and 176 is 11.

Kunal is making baskets full of nuts and dried fruits. He has 143 bags of nuts and 176 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 143 and 176. So the GCF of 143 and 176 is 11.