layout: gcf value: 25 value2: 60 result: 5 factors: [1,5,25] factors2: [1,2,3,4,5,6,10,12,15,20,30,60] 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 (25, 60).</p> props: <li>The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 25 and 60 is 5, where 5 is less than both the numbers.</li><li>If the given numbers are consecutive than GCF is always 1.</li><li>Product of two numbers is always equal to the product of their GCF and LCM.</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">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 factor of a number is an exact divisor of that number, example 1, 5, 25 are exact divisors of 25 and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 are exact divisors of 60.</li><li>Every number other than 1 has at least two factors, namely the number itself and 1.</li><li>Each number is a factor of itself. Eg. 25 and 60 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 25 and also of 60.</li> examples: <div class="example-box">Sammy baked 25 chocolate cookies and 60 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 25 and 60.
GCF of 25 and 60 is 5.</p></div><div class="example-box">A class has 25 boys and 60 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 25 and 60. Hence, GCF of 25 and 60 is 5.</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(25, 60) = ( 25 * 60 ) / LCM(25, 60) = 5. </p></div><div class="example-box">What is the GCF of 25 and 60?<p>GCF of 25 and 60 is 5.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 25 bottles of water and 60 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 25 and 60. So the GCF of 25 and 60 is 5.</p></div><div class="example-box">Mary has 25 blue buttons and 60 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 25 and 60. Hence, the GCF of 25 and 60 or the greatest arrangement is 5.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 25 maroon balloons, and 60 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 25 and 60. So the GCF of 25 and 60 is 5.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 25 bags of nuts and 60 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 25 and 60. So the GCF of 25 and 60 is 5.</p></div> uservisited: <li> GCF of 11 and 19 </li><li> GCF of 175 and 245 </li><li> GCF of 120 and 132 </li><li> GCF of 28 and 45 </li><li> GCF of 21 and 28 </li><li> GCF of 15 and 40 </li><li> GCF of 11 and 66 </li><li> GCF of 78 and 100 </li><li> GCF of 36 and 68 </li><li> GCF of 24 and 62 </li><li> GCF of 48 and 56 </li><li> GCF of 64 and 100 </li><li> GCF of 28 and 42 </li><li> GCF of 37 and 55 </li><li> GCF of 40 and 65 </li><li> GCF of 30 and 60 </li><li> GCF of 108 and 252 </li><li> GCF of 13 and 27 </li><li> GCF of 30 and 100 </li><li> GCF of 28 and 32 </li><li> GCF of 48 and 80 </li><li> GCF of 168 and 280 </li><li> GCF of 18 and 28 </li><li> GCF of 162 and 108 </li><li> GCF of 25 and 90 </li> —–