Definition of GCF
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 (3375, 5625).
Properties of GCF
- The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
- GCF of two consecutive numbers is always 1.
- Given two numbers 3375 and 5625, such that GCF is 1125 where 1125 will always be less than 3375 and 5625.
- Product of two numbers is always equal to the product of their GCF and LCM.
What are factors?
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.
Properties of Factors
- Every number is a factor of zero (0), since 3375 x 0 = 0 and 5625 x 0 = 0.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375 are exact divisors of 3375 and 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625 are exact divisors of 5625.
- Factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. Each factor divides 3375 without leaving a remainder.
Simlarly, factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. Each factor divides 5625 without leaving a remainder.
Steps to find Factors of 3375 and 5625
- Step 1. Find all the numbers that would divide 3375 and 5625 without leaving any remainder. Starting with the number 1 upto 1687 (half of 3375) and 1 upto 2812 (half of 5625). The number 1 and the number itself are always factors of the given number.
3375 ÷ 1 : Remainder = 0
5625 ÷ 1 : Remainder = 0
3375 ÷ 3 : Remainder = 0
5625 ÷ 3 : Remainder = 0
3375 ÷ 5 : Remainder = 0
5625 ÷ 5 : Remainder = 0
3375 ÷ 9 : Remainder = 0
5625 ÷ 9 : Remainder = 0
3375 ÷ 15 : Remainder = 0
5625 ÷ 15 : Remainder = 0
3375 ÷ 25 : Remainder = 0
5625 ÷ 25 : Remainder = 0
3375 ÷ 27 : Remainder = 0
5625 ÷ 45 : Remainder = 0
3375 ÷ 45 : Remainder = 0
5625 ÷ 75 : Remainder = 0
3375 ÷ 75 : Remainder = 0
5625 ÷ 125 : Remainder = 0
3375 ÷ 125 : Remainder = 0
5625 ÷ 225 : Remainder = 0
3375 ÷ 135 : Remainder = 0
5625 ÷ 375 : Remainder = 0
3375 ÷ 225 : Remainder = 0
5625 ÷ 625 : Remainder = 0
3375 ÷ 375 : Remainder = 0
5625 ÷ 1125 : Remainder = 0
3375 ÷ 675 : Remainder = 0
5625 ÷ 1875 : Remainder = 0
3375 ÷ 1125 : Remainder = 0
5625 ÷ 5625 : Remainder = 0
3375 ÷ 3375 : Remainder = 0
Hence, Factors of
3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, and 3375
And, Factors of
5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, and 5625
Examples of GCF
Sammy baked 3375 chocolate cookies and 5625 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?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 3375 and 5625.
GCF of 3375 and 5625 is 1125.
What is the difference between GCF and LCM?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.
What is the relation between LCM and GCF (Greatest Common Factor)?GCF and LCM of two numbers can be related as GCF(3375, 5625) = ( 3375 * 5625 ) / LCM(3375, 5625) = 1125.
What is the GCF of 3375 and 5625?GCF of 3375 and 5625 is 1125.
Ram has 3375 cans of Pepsi and 5625 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?To find the greatest number of tables that Ram can stock we need to find the GCF of 3375 and 5625. Hence GCF of 3375 and 5625 is 1125. So the number of tables that can be arranged is 1125.
Rubel is creating individual servings of starters for her birthday party. He has 3375 pizzas and 5625 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?The greatest number of servings Rubel can create would be equal to the GCF of 3375 and 5625. Thus GCF of 3375 and 5625 is 1125.
Ariel is making ready to eat meals to share with friends. She has 3375 bottles of water and 5625 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?The greatest number of boxes Ariel can make would be equal to GCF of 3375 and 5625. So the GCF of 3375 and 5625 is 1125.
Mary has 3375 blue buttons and 5625 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?Greatest possible way in which Mary can arrange them in groups would be GCF of 3375 and 5625. Hence, the GCF of 3375 and 5625 or the greatest arrangement is 1125.
Kamal is making identical balloon arrangements for a party. He has 3375 maroon balloons, and 5625 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?The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 3375 and 5625. So the GCF of 3375 and 5625 is 1125.