layout: gcf value: 96 value2: 120 result: 24 factors: [1,2,3,4,6,8,12,16,24,32,48,96] factors2: [1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120] def: <h4 class="mt-3 heading">What is GCF of two numbers?</h4><p>In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (96, 120).</p> props: <li>The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 96 and 120 is 24, where 24 is less than both 96 and 120.</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 without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.</p> factorsprops: <li>Each number is a factor of itself. Eg. 96 and 120 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 96 and also of 120.</li><li>Every number is a factor of zero (0), since 96 x 0 = 0 and 120 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, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 are exact divisors of 96 and 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 are exact divisors of 120.</li><li>Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. Each factor divides 96 without leaving a remainder.
Simlarly, factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Each factor divides 120 without leaving a remainder.</li><li>Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 are all less than or equal to 96 and 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 are all less than or equal to 120.</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(96, 120) = ( 96 * 120 ) / LCM(96, 120) = 24. </p></div><div class="example-box">What is the GCF of 96 and 120?<p>GCF of 96 and 120 is 24.</p></div><div class="example-box">Ram has 96 cans of Pepsi and 120 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 96 and 120. Hence GCF of 96 and 120 is 24. So the number of tables that can be arranged is 24.</p></div><div class="example-box">Rubel is creating individual servings of starters for her birthday party. He has 96 pizzas and 120 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 96 and 120. Thus GCF of 96 and 120 is 24.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 96 bottles of water and 120 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 96 and 120. So the GCF of 96 and 120 is 24.</p></div><div class="example-box">Mary has 96 blue buttons and 120 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 96 and 120. Hence, the GCF of 96 and 120 or the greatest arrangement is 24.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 96 maroon balloons, and 120 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 96 and 120. So the GCF of 96 and 120 is 24.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 96 bags of nuts and 120 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 96 and 120. So the GCF of 96 and 120 is 24.</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 96 bus tickets and 120 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 96 and 120. Hence, GCF of 96 and 120 is 24.</p></div> uservisited: <li> GCF of 56 and 63 </li><li> GCF of 16 and 180 </li><li> GCF of 140 and 600 </li><li> GCF of 100 and 112 </li><li> GCF of 36 and 96 </li><li> GCF of 84 and 90 </li><li> GCF of 28 and 36 </li><li> GCF of 40 and 62 </li><li> GCF of 108 and 126 </li><li> GCF of 125 and 120 </li><li> GCF of 40 and 700 </li><li> GCF of 17 and 40 </li><li> GCF of 39 and 65 </li><li> GCF of 48 and 120 </li><li> GCF of 2205 and 5145 </li><li> GCF of 128 and 192 </li><li> GCF of 72 and 120 </li><li> GCF of 27 and 54 </li><li> GCF of 42 and 63 </li><li> GCF of 12 and 22 </li><li> GCF of 49 and 63 </li><li> GCF of 48 and 72 </li><li> GCF of 30 and 44 </li><li> GCF of 1627 and 20 </li><li> GCF of 294 and 5 </li> —–