Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
Common Factors
Common factors of two or more numbers are a number which divides each of the given numbers exactly.
Let us find all the factors of number 24 and 36
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36
The common factors of above are shown below.
The factors common to two or more numbers are known as common factors, in the example given above, 12 is the highest common factor of 24 and 36.
For examples
1. Find the common factor of 6 and 8.
Factor of 6 = 1, 2, 3 and 6.
Factor of 8 = 1, 2, 4 and 8.
Therefore, common factors of 6 and 8 = 1 and 2.
[It can easily be shown that each common factor (1 and 2) divides the given numbers 6 and 8 exactly].
2. Find the common factor of 8 and 12.
Factor of 8 = 1, 2, 4 and 8.
Factor of 12 = 1, 2, 3, 4, 6 and 12.
Therefore, common factors of 8 and 12 = 1, 2 and 4.
3. Find the common factor of 10 and 15.
Factor of 10 = 1, 2, 5 and 10.
Factor of 15 = 1, 3, 5 and 15.
Therefore, common factors of 10 and 15 = 1 and 5.
4. Find the common factor of 14 and 21.
Factor of 14 = 1, 2, 7 and 14.
Factor of 21 = 1, 3, 7 and 21.
Therefore, common factors of 14 and 21 = 1 and 7.
Worksheet on Common Factors:
I. Find all the common factors of
(i) 8 and 12
(ii) 10 and 28
(iii) 12 and 24
(iv) 21 and 49
(v) 20 and 50
(vi) 17 and 51
(vii) 20 and 25
(viii) 24 and 48
(ix) 16 and 24
Answer:
I. (i) 1, 2, 4
(ii) 1, 2, 4
(iii) 1, 2, 3, 4, 6, 12
(iv) 1, 7
(v) 1, 2, 10, 5.
(vi) 1, 17
(vii) 1, 5
(viii) 1, 2, 3, 4, 6, 8, 12, 24
(ix) 1, 2, 4, 8
You might like these
Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules
While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the tens place is replaced by ‘0’ and the hundreds place is increased by 1.
Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules
Round off to nearest 1000 is discussed here. While rounding off to the nearest 1000, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5, then the hundreds place is
Worksheet on Rounding Off Number | Rounding off Number | Nearest 10
In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to
Divisibility Rules From 2 to 18 | Math Divisibility Test | Videos |
To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
What is a Percentage in Math? | Symbol | Fraction with Denominator 100
A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per
To Convert a Fraction into a Percentage|Converting Fraction to Percent
To convert a fraction into a percent, we multiply the given fraction by 100 and add the percent symbol after the product. Let us consider how to change a fraction to a percent (i) 42/100 = 42% (ii) 73/100 = 73% (iii) 6/100 = 6%
Word Problems on Simple Interest | Simple Interest Formula | Worksheet
Word Problems on Simple Interest are solved here: 1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount
Worksheet on Simple Interest | Word problem on Simple Interest | Free
In worksheet on simple interest we will get different types of question on calculating the simple interest, the principal amount, the rate of interest and the word problems on simple interest.
5th Grade Temperature | Fahrenheit Scale | Celsius Scale | Thermometer
We will discuss here about the concept of temperature. We have already learned about various types of measurements like length, mass capacity and time. But if we have fever, non of these measurements
Converting the Temperature from Celsius to Fahrenheit | Examples
In converting the temperature from Celsius to Fahrenheit the formula is F = (9/5)C + 32. Steps of converting from Celsius (°C) to Fahrenheit (°F)
Converting the Temperature from Fahrenheit to Celsius | Examples
In converting the temperature from Fahrenheit to Celsius the formula is, C = (5/9)(F - 32); The steps of converting from Fahrenheit to Celsius are reversed here.
Worksheet on Temperature |Celsius to Fahrenheit, Fahrenheit to Celsius
In the worksheet on temperature we will solve 10 different types of questions.1. Which is colder 32°F or 0°C? 2. Water boils at ...°C and freezes at ....°F.
How to Find the Average in Math? | What Does Average Mean? |Definition
Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.
Worksheet on Average | Word Problem on Average | Questions on Average
In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.
Properties of Division | Division of Property Overview|Math Properties
The properties of division are discussed here: 1. If we divide a number by 1 the quotient is the number itself. In other words, when any number is divided by 1, we always get the number itself as the quotient. For example: (i) 7542 ÷ 1 = 7542 (ii) 372 ÷ 1 = 372
● 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).
● 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.
From Common Factors 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.
Recent Articles
-
Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo
Jul 28, 25 01:52 PM
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… -
Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox
Jul 25, 25 03:15 AM
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: -
Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume
Jul 24, 25 03:46 PM
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… -
Volume of a Cube | How to Calculate the Volume of a Cube? | Examples
Jul 23, 25 11:37 AM
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… -
5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units
Jul 20, 25 10:22 AM
Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…
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.