Greatest Common Factor

Greatest common factor is the greatest number which is a common factor of two or more number.


There is no difference between highest common factor (H.C.F) or greatest common divisor (G.C.D) or greatest common factor (G.C.F).


1. Find the greatest common divisor (G.C.D) of 70, 210 and 315?

Solution:

Factors of 70 = 1, 2, 5, 7, 10, 14, 35, and 70.

Factors of 210 =1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.

Factors of 315 =1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315. Therefore, common factor of 70, 210 and 315 = 1,5, 7 and 35.

Greatest common divisor (G.C.D) of 70, 210 and 315= 35.



2. Find the greatest common divisor (G.C.D) of 60, 90 and 150?

Solution:

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.

Factors of 150 = 1,2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and 150.

Therefore, common factor of 60, 90 and 150 = 1, 2, 3,5, 6,10, 15 and 30.

Greatest common divisor (G.C.D) of 60, 90 and 150 = 30.

3. What is the highest common factor (H.C.F) of 56 and 91?

Solution:

Factors of 56 = 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 91 = 1, 7, 13, and 91.

Therefore, common factor of 56 and 91 = 1and 7.

Highest common factor (H.C.F) of 56 and 91 = 7.



4. What is the greatest common factor (G.C.F) of 24 and 66?

Solution:

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

Factors of 66 =1, 2, 3, 6, 11, 22, 33 and 66.

Therefore, common factor of 24 and 66 = 1, 2, 3 and 6.

Greatest common factor (G.C.F) of 24 and 66 = 6.



5.What is the highest common factor (H.C.F) of 51 and 111?

Solution:

Factors of 51 = 1, 3, 17 and 51.

Factors of 111 =1, 3, 37, and 111.

Therefore, common factor of 51 and 111 = 1and 3.

Highest common factor (H.C.F) of 51 and 111 = 3.



6.What is the greatest common factor (G.C.F) of 11 and17?

Solution:

Factors of 11 = 1 and 11.

Factors of 17 =1 and 17.

Therefore, common factor of 11 and 17 = 1.

Greatest common factor (G.C.F)of11 and 17 = 1.



● Factors.

 Common Factors.

 Prime Factor.

● Repeated Prime Factors.

● Highest Common Factor (H.C.F).

● Examples on Highest Common Factor (H.C.F).

 Greatest Common Factor (G.C.F).

 Examples of Greatest Common Factor (G.C.F).

 Prime Factorisation.

 To find Highest Common Factor by using Prime Factorization Method.

 Examples to find Highest Common Factor by using Prime Factorization Method.

 To find Highest Common Factor by using Division Method.

 Examples to find Highest Common Factor of two numbers by using Division Method.

 To find the Highest Common Factor of three numbers by using Division Method.










5th Grade Math Problems 

5th Grade Numbers Page 

From Greatest Common Factor to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Successor and Predecessor | Successor of a Whole Number | Predecessor

    Jul 29, 25 12:59 AM

    Successor and Predecessor
    The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number…

    Read More

  2. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 28, 25 01:52 PM

    Volume of a Cuboids
    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  3. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  4. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  5. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More