layout: gcf value: 35 value2: 42 result: 7 factors: [1,5,7,35] factors2: [1,2,3,6,7,14,21,42] 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 (35, 42).</p> props: <li>The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.</li><li>GCF of two consecutive numbers is always 1.</li><li>Given two numbers 35 and 42, such that GCF is 7 where 7 will always be less than 35 and 42.</li><li>Product of two numbers is always equal to the product of their GCF and LCM.</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 number is a factor of zero (0), since 35 x 0 = 0 and 42 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, 5, 7, 35 are exact divisors of 35 and 1, 2, 3, 6, 7, 14, 21, 42 are exact divisors of 42.</li><li>Factors of 35 are 1, 5, 7, 35. Each factor divides 35 without leaving a remainder.
Simlarly, factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. Each factor divides 42 without leaving a remainder.</li> examples: <div class="example-box">Sammy baked 35 chocolate cookies and 42 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 35 and 42.
GCF of 35 and 42 is 7.</p></div><div class="example-box">A class has 35 boys and 42 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 35 and 42. Hence, GCF of 35 and 42 is 7.</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(35, 42) = ( 35 * 42 ) / LCM(35, 42) = 7. </p></div><div class="example-box">What is the GCF of 35 and 42?<p>GCF of 35 and 42 is 7.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 35 bottles of water and 42 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 35 and 42. So the GCF of 35 and 42 is 7.</p></div><div class="example-box">Mary has 35 blue buttons and 42 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 35 and 42. Hence, the GCF of 35 and 42 or the greatest arrangement is 7.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 35 maroon balloons, and 42 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 35 and 42. So the GCF of 35 and 42 is 7.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 35 bags of nuts and 42 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 35 and 42. So the GCF of 35 and 42 is 7.</p></div><div class="example-box">A class has 35 boys and 42 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 35 and 42. Hence, GCF of 35 and 42 is 7.</p></div> uservisited: <li> GCF of 90 and 160 </li><li> GCF of 21 and 306 </li><li> GCF of 45 and 99 </li><li> GCF of 21 and 63 </li><li> GCF of 8 and 56 </li><li> GCF of 40 and 90 </li><li> GCF of 300 and 450 </li><li> GCF of 27 and 70 </li><li> GCF of 108 and 135 </li><li> GCF of 11 and 20 </li><li> GCF of 24 and 36 </li><li> GCF of 26 and 100 </li><li> GCF of 168 and 280 </li><li> GCF of 140 and 360 </li><li> GCF of 20 and 28 </li><li> GCF of 200 and 205 </li><li> GCF of 24 and 36 </li><li> GCF of 30 and 50 </li><li> GCF of 245 and 343 </li><li> GCF of 37 and 67 </li><li> GCF of 8 and 12 </li><li> GCF of 105 and 210 </li><li> GCF of 72 and 81 </li><li> GCF of 72 and 84 </li><li> GCF of 24 and 27 </li> —–