layout: gcf value: 70 value2: 98 result: 14 factors: [1,2,5,7,10,14,35,70] factors2: [1,2,7,14,49,98] 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 (70, 98).</p> props: <li>Given two numbers 70 and 98, such that GCF is 14 where 14 will always be less than 70 and 98.</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">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>Each number is a factor of itself. Eg. 70 and 98 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, 5, 7, 10, 14, 35, 70 are exact divisors of 70 and 1, 2, 7, 14, 49, 98 are exact divisors of 98.</li><li>1 is a factor of every number. Eg. 1 is a factor of 70 and also of 98.</li><li>Every number is a factor of zero (0), since 70 x 0 = 0 and 98 x 0 = 0.</li> examples: <div class="example-box">Sammy baked 70 chocolate cookies and 98 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 70 and 98.
GCF of 70 and 98 is 14.</p></div><div class="example-box">A class has 70 boys and 98 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 70 and 98. Hence, GCF of 70 and 98 is 14.</p></div><div class="example-box">What is the difference between GCF and LCM?<p>Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.</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(70, 98) = ( 70 * 98 ) / LCM(70, 98) = 14. </p></div><div class="example-box">What is the GCF of 70 and 98?<p>GCF of 70 and 98 is 14.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 70 bottles of water and 98 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 70 and 98. So the GCF of 70 and 98 is 14.</p></div><div class="example-box">Mary has 70 blue buttons and 98 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 70 and 98. Hence, the GCF of 70 and 98 or the greatest arrangement is 14.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 70 maroon balloons, and 98 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 70 and 98. So the GCF of 70 and 98 is 14.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 70 bags of nuts and 98 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 70 and 98. So the GCF of 70 and 98 is 14.</p></div> uservisited: <li> GCF of 28 and 63 </li><li> GCF of 181 and 500 </li><li> GCF of 25 and 205 </li><li> GCF of 25 and 105 </li><li> GCF of 27 and 72 </li><li> GCF of 12 and 33 </li><li> GCF of 102 and 170 </li><li> GCF of 9 and 16 </li><li> GCF of 10 and 70 </li><li> GCF of 27 and 72 </li><li> GCF of 28 and 48 </li><li> GCF of 10 and 200 </li><li> GCF of 49 and 80 </li><li> GCF of 215 and 1849 </li><li> GCF of 36 and 100 </li><li> GCF of 126 and 198 </li><li> GCF of 34 and 42 </li><li> GCF of 24 and 48 </li><li> GCF of 300 and 482 </li><li> GCF of 105 and 210 </li><li> GCF of 375 and 675 </li><li> GCF of 15 and 305 </li><li> GCF of 48 and 60 </li><li> GCF of 28 and 32 </li><li> GCF of 45 and 80 </li> —–