layout: gcf value: 32 value2: 81 result: 1 factors: [1,2,4,8,16,32] factors2: [1,3,9,27,81] def: <h4 class="mt-3 heading">How do we define GCF?</h4><p>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 (32, 81).</p> props: <li>The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 32 and 81 is 1, where 1 is less than both 32 and 81.</li><li>GCF of two consecutive numbers is always 1.</li><li>The product of GCF and LCM of two given numbers is equal to the product of two numbers.</li><li>The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.</li> factorsdef: <h4 class="mt-3 heading">How do you explain factors?</h4><p>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.</p> factorsprops: <li>Each number is a factor of itself. Eg. 32 and 81 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 32 and also of 81.</li><li>Every number is a factor of zero (0), since 32 x 0 = 0 and 81 x 0 = 0.</li><li>Every number other than 1 has at least two factors, namely the number itself and 1.</li><li>Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 16, 32 are exact divisors of 32 and 1, 3, 9, 27, 81 are exact divisors of 81.</li><li>Factors of 32 are 1, 2, 4, 8, 16, 32. Each factor divides 32 without leaving a remainder.
Simlarly, factors of 81 are 1, 3, 9, 27, 81. Each factor divides 81 without leaving a remainder.</li><li>Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 32 are all less than or equal to 32 and 1, 3, 9, 27, 81 are all less than or equal to 81.</li> examples: <div class="example-box">Sammy baked 32 chocolate cookies and 81 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?<p>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 32 and 81.
GCF of 32 and 81 is 1.</p></div><div class="example-box">A class has 32 boys and 81 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?<p>To find the greatest number of students that could be in each row, we need to find the GCF of 32 and 81. Hence, GCF of 32 and 81 is 1.</p></div><div class="example-box">What is the relation between LCM and GCF (Greatest Common Factor)?<p>GCF and LCM of two numbers can be related as GCF(32, 81) = ( 32 * 81 ) / LCM(32, 81) = 1. </p></div><div class="example-box">What is the GCF of 32 and 81?<p>GCF of 32 and 81 is 1.</p></div><div class="example-box">Ram has 32 cans of Pepsi and 81 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?<p>To find the greatest number of tables that Ram can stock we need to find the GCF of 32 and 81. Hence GCF of 32 and 81 is 1. So the number of tables that can be arranged is 1.</p></div><div class="example-box">Rubel is creating individual servings of starters for her birthday party. He has 32 pizzas and 81 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?<p>The greatest number of servings Rubel can create would be equal to the GCF of 32 and 81. Thus GCF of 32 and 81 is 1.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 32 bottles of water and 81 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?<p>The greatest number of boxes Ariel can make would be equal to GCF of 32 and 81. So the GCF of 32 and 81 is 1.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 32 maroon balloons, and 81 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?<p>The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 32 and 81. So the GCF of 32 and 81 is 1.</p></div><div class="example-box">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 32 bus tickets and 81 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?<p>To make the greatest number of envelopes Abir needs to find out the GCF of 32 and 81. Hence, GCF of 32 and 81 is 1.</p></div> uservisited: <li> GCF of 20 and 36 </li><li> GCF of 18 and 108 </li><li> GCF of 42 and 60 </li><li> GCF of 104 and 260 </li><li> GCF of 36 and 90 </li><li> GCF of 147 and 192 </li><li> GCF of 35 and 75 </li><li> GCF of 32 and 88 </li><li> GCF of 36 and 81 </li><li> GCF of 100 and 125 </li><li> GCF of 25 and 40 </li><li> GCF of 1150 and 2000 </li><li> GCF of 30 and 45 </li><li> GCF of 50 and 75 </li><li> GCF of 18 and 65 </li><li> GCF of 32 and 55 </li><li> GCF of 1421 and 36 </li><li> GCF of 25 and 90 </li><li> GCF of 21 and 34 </li><li> GCF of 28 and 42 </li><li> GCF of 33 and 55 </li><li> GCF of 45 and 81 </li><li> GCF of 90 and 105 </li><li> GCF of 36 and 48 </li><li> GCF of 12 and 100 </li> —–