layout: gcf
value: 56
value2: 84
result: 28
factors: [1,2,4,7,8,14,28,56]
factors2: [1,2,3,4,6,7,12,14,21,28,42,84]
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 (56, 84).</p>
props: <li>The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 56 and 84 is 28, where 28 is less than both 56 and 84.</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. 56 and 84 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 56 and also of 84.</li><li>Every number is a factor of zero (0), since 56 x 0 = 0 and 84 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, 4, 7, 8, 14, 28, 56 are exact divisors of 56 and 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 are exact divisors of 84.</li><li>Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. Each factor divides 56 without leaving a remainder.

Simlarly, factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. Each factor divides 84 without leaving a remainder.</li><li>Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 28, 56 are all less than or equal to 56 and 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 are all less than or equal to 84.</li>
examples: <div class="example-box">**A class has 56 boys and 84 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 56 and 84. Hence, GCF of 56 and 84 is 28.</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(56, 84) = ( 56 * 84 ) / LCM(56, 84) = 28. </p></div><div class="example-box">**What is the GCF of 56 and 84?**<p>GCF of 56 and 84 is 28.</p></div><div class="example-box">**Ram has 56 cans of Pepsi and 84 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 56 and 84. Hence GCF of 56 and 84 is 28. So the number of tables that can be arranged is 28.</p></div><div class="example-box">**Rubel is creating individual servings of starters for her birthday party. He has 56 pizzas and 84 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 56 and 84. Thus GCF of 56 and 84 is 28.</p></div><div class="example-box">**Ariel is making ready to eat meals to share with friends. She has 56 bottles of water and 84 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 56 and 84. So the GCF of 56 and 84 is 28.</p></div><div class="example-box">**Mary has 56 blue buttons and 84 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 56 and 84. Hence, the GCF of 56 and 84 or the greatest arrangement is 28.</p></div><div class="example-box">**Kunal is making baskets full of nuts and dried fruits. He has 56 bags of nuts and 84 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 56 and 84. So the GCF of 56 and 84 is 28.</p></div>
uservisited: <li>
GCF of 18 and 24
</li><li>
GCF of 280 and 501
</li><li>
GCF of 33 and 77
</li><li>
GCF of 11 and 20
</li><li>
GCF of 21 and 43
</li><li>
GCF of 11 and 98
</li><li>
GCF of 21 and 39
</li><li>
GCF of 30 and 100
</li><li>
GCF of 25 and 40
</li><li>
GCF of 360 and 41327
</li><li>
GCF of 32 and 96
</li><li>
GCF of 32 and 104
</li><li>
GCF of 36 and 48
</li><li>
GCF of 15 and 55
</li><li>
GCF of 27 and 45
</li><li>
GCF of 40 and 72
</li><li>
GCF of 19 and 995
</li><li>
GCF of 34 and 51
</li><li>
GCF of 84 and 210
</li><li>
GCF of 10 and 120
</li><li>
GCF of 120 and 200
</li><li>
GCF of 33 and 66
</li><li>
GCF of 1665 and 4050
</li><li>
GCF of 60 and 100
</li><li>
GCF of 21 and 32
</li>
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