Common factors are numbers that divide two or more numbers exactly. The common factors of two numbers are the numbers that can divide both of them without leaving a remainder.
This Common Factors Calculator is a fast and efficient way to find the divisors of numbers, calculate their common factors, and determine the greatest common factor (GCF) of a set of integers. Whether you're simplifying fractions, solving ratio problems, or just need to break down numbers into their factors, this tool can help. Enter the set of numbers, separated by commas, and click "Calculate" to instantly find all divisors of the numbers, their common factors, and the GCF.
In mathematics, a factor of a number is any number that divides that number exactly without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Understanding factors is key to simplifying mathematical expressions and solving real-life problems, such as dividing quantities evenly or finding the most efficient ratiosAll Calculator.
Common factors are the factors that two or more numbers share. For instance, consider the numbers 24 and 36:
| Number | Factors |
|---|---|
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 |
The common factors of 24 and 36 are 1, 2, 3, 4, 6, 12. The largest of these common factors, 12, is the greatest common factor (GCF).
The greatest common factor (GCF) is particularly useful in:
Let’s say you want to simplify the fraction 24/36. First, find the GCF of 24 and 36, which is 12. Divide both the numerator and denominator by 12, and the fraction simplifies to 2/3.
Enter any set of numbers, and our GCF calculator will show you the common divisors, GCF, and factors instantly. This tool is great for homework, real-world problems, and more.