layout: gcf value: 64 value2: 81 result: 1 factors: [1,2,4,8,16,32,64] factors2: [1,3,9,27,81] def: <h4 class="mt-3 heading">How do you explain GCF in mathematics?</h4><p>GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (64, 81).</p> props: <li>The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 64 and 81 is 1, where 1 is less than both 64 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 can we define factors?</h4><p>In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.</p> factorsprops: <li>Each number is a factor of itself. Eg. 64 and 81 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 64 and also of 81.</li><li>Every number is a factor of zero (0), since 64 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, 64 are exact divisors of 64 and 1, 3, 9, 27, 81 are exact divisors of 81.</li><li>Factors of 64 are 1, 2, 4, 8, 16, 32, 64. Each factor divides 64 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, 64 are all less than or equal to 64 and 1, 3, 9, 27, 81 are all less than or equal to 81.</li> examples: <div class="example-box">Sammy baked 64 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 64 and 81.
GCF of 64 and 81 is 1.</p></div><div class="example-box">A class has 64 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 64 and 81. Hence, GCF of 64 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(64, 81) = ( 64 * 81 ) / LCM(64, 81) = 1. </p></div><div class="example-box">What is the GCF of 64 and 81?<p>GCF of 64 and 81 is 1.</p></div><div class="example-box">Ram has 64 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 64 and 81. Hence GCF of 64 and 81 is 1. So the number of tables that can be arranged is 1.</p></div><div class="example-box">Mary has 64 blue buttons and 81 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 64 and 81. Hence, the GCF of 64 and 81 or the greatest arrangement is 1.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 64 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 64 and 81. So the GCF of 64 and 81 is 1.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 64 bags of nuts and 81 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 64 and 81. So the GCF of 64 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 64 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 64 and 81. Hence, GCF of 64 and 81 is 1.</p></div> uservisited: <li> GCF of 126 and 144 </li><li> GCF of 30 and 75 </li><li> GCF of 420 and 630 </li><li> GCF of 28 and 72 </li><li> GCF of 21 and 49 </li><li> GCF of 58 and 87 </li><li> GCF of 84 and 108 </li><li> GCF of 35 and 42 </li><li> GCF of 45 and 126 </li><li> GCF of 10 and 200 </li><li> GCF of 24 and 108 </li><li> GCF of 6 and 16 </li><li> GCF of 55 and 66 </li><li> GCF of 33 and 66 </li><li> GCF of 21 and 55 </li><li> GCF of 13 and 31 </li><li> GCF of 168 and 231 </li><li> GCF of 170 and 210 </li><li> GCF of 21 and 54 </li><li> GCF of 168 and 294 </li><li> GCF of 20 and 32 </li><li> GCF of 45 and 255 </li><li> GCF of 40 and 70 </li><li> GCF of 35 and 65 </li><li> GCF of 36 and 121 </li> —–