layout: gcf value: 42 value2: 66 result: 6 factors: [1,2,3,6,7,14,21,42] factors2: [1,2,3,6,11,22,33,66] 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 (42, 66).</p> props: <li>Given two numbers 42 and 66, such that GCF is 6 where 6 will always be less than 42 and 66.</li><li>GCF of two numbers is always equal to 1 in case given numbers are consecutive.</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 is either 1 or the number itself if one of them is a prime number.</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. 42 and 66 are factors of themselves respectively.</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, 3, 6, 7, 14, 21, 42 are exact divisors of 42 and 1, 2, 3, 6, 11, 22, 33, 66 are exact divisors of 66.</li><li>1 is a factor of every number. Eg. 1 is a factor of 42 and also of 66.</li><li>Every number is a factor of zero (0), since 42 x 0 = 0 and 66 x 0 = 0.</li> examples: <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(42, 66) = ( 42 * 66 ) / LCM(42, 66) = 6. </p></div><div class="example-box">What is the GCF of 42 and 66?<p>GCF of 42 and 66 is 6.</p></div><div class="example-box">Ram has 42 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 42 and 66. Hence GCF of 42 and 66 is 6. So the number of tables that can be arranged is 6.</p></div><div class="example-box">Rubel is creating individual servings of starters for her birthday party. He has 42 pizzas and 66 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 42 and 66. Thus GCF of 42 and 66 is 6.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 42 bottles of water and 66 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 42 and 66. So the GCF of 42 and 66 is 6.</p></div><div class="example-box">Mary has 42 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 42 and 66. Hence, the GCF of 42 and 66 or the greatest arrangement is 6.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 42 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 42 and 66. So the GCF of 42 and 66 is 6.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 42 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 42 and 66. So the GCF of 42 and 66 is 6.</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 42 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 42 and 66. Hence, GCF of 42 and 66 is 6.</p></div> uservisited: <li> GCF of 20 and 25 </li><li> GCF of 33 and 35 </li><li> GCF of 15 and 30 </li><li> GCF of 48 and 84 </li><li> GCF of 92 and 100 </li><li> GCF of 42 and 54 </li><li> GCF of 24 and 100 </li><li> GCF of 24 and 40 </li><li> GCF of 54 and 108 </li><li> GCF of 14 and 30 </li><li> GCF of 21 and 60 </li><li> GCF of 48 and 64 </li><li> GCF of 25 and 50 </li><li> GCF of 165 and 220 </li><li> GCF of 1920 and 1080 </li><li> GCF of 200 and 240 </li><li> GCF of 120 and 216 </li><li> GCF of 85 and 102 </li><li> GCF of 45 and 71 </li><li> GCF of 27 and 36 </li><li> GCF of 130 and 195 </li><li> GCF of 18 and 35 </li><li> GCF of 120 and 180 </li><li> GCF of 102 and 201 </li><li> GCF of 18 and 66 </li> —–