layout: gcf value: 55 value2: 66 result: 11 factors: [1,5,11,55] factors2: [1,2,3,6,11,22,33,66] def: <h4 class="mt-3 heading">Definition of GCF</h4><p>Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (55, 66).</p> props: <li>The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.</li><li>GCF of two consecutive numbers is always 1.</li><li>Given two numbers 55 and 66, such that GCF is 11 where 11 will always be less than 55 and 66.</li><li>Product of two numbers is always equal to the product of their GCF and LCM.</li> factorsdef: <h4 class="mt-3 heading">What are factors?</h4><p>In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.</p> factorsprops: <li>Every number is a factor of zero (0), since 55 x 0 = 0 and 66 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, 5, 11, 55 are exact divisors of 55 and 1, 2, 3, 6, 11, 22, 33, 66 are exact divisors of 66.</li><li>Factors of 55 are 1, 5, 11, 55. Each factor divides 55 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.</li> examples: <div class="example-box">Sammy baked 55 chocolate cookies and 66 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 55 and 66.
GCF of 55 and 66 is 11.</p></div><div class="example-box">A class has 55 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?<p>To find the greatest number of students that could be in each row, we need to find the GCF of 55 and 66. Hence, GCF of 55 and 66 is 11.</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(55, 66) = ( 55 * 66 ) / LCM(55, 66) = 11. </p></div><div class="example-box">What is the GCF of 55 and 66?<p>GCF of 55 and 66 is 11.</p></div><div class="example-box">Ram has 55 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?<p>To find the greatest number of tables that Ram can stock we need to find the GCF of 55 and 66. Hence GCF of 55 and 66 is 11. So the number of tables that can be arranged is 11.</p></div><div class="example-box">Mary has 55 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?<p>Greatest possible way in which Mary can arrange them in groups would be GCF of 55 and 66. Hence, the GCF of 55 and 66 or the greatest arrangement is 11.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 55 maroon balloons, and 66 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 55 and 66. So the GCF of 55 and 66 is 11.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 55 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?<p>the greatest number of baskets that Kunal can make would be equal to GCF of 55 and 66. So the GCF of 55 and 66 is 11.</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 55 bus tickets and 66 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 55 and 66. Hence, GCF of 55 and 66 is 11.</p></div> uservisited: <li> GCF of 189 and 200 </li><li> GCF of 24 and 48 </li><li> GCF of 28 and 32 </li><li> GCF of 128 and 192 </li><li> GCF of 16 and 39 </li><li> GCF of 108 and 126 </li><li> GCF of 16 and 44 </li><li> GCF of 141 and 329 </li><li> GCF of 51 and 85 </li><li> GCF of 320 and 800 </li><li> GCF of 5 and 25 </li><li> GCF of 42 and 48 </li><li> GCF of 130 and 195 </li><li> GCF of 225 and 308 </li><li> GCF of 72 and 108 </li><li> GCF of 22 and 96 </li><li> GCF of 30 and 65 </li><li> GCF of 60 and 66 </li><li> GCF of 10 and 250 </li><li> GCF of 189 and 200 </li><li> GCF of 28 and 30 </li><li> GCF of 36 and 49 </li><li> GCF of 48 and 176 </li><li> GCF of 60 and 72 </li><li> GCF of 18 and 360 </li> —–