###### Asked in AlgebraFactoring and Multiples

Algebra

Factoring and Multiples

# What are the common factors and greatest common factor of 4?

## Answer

###### Wiki User

###### May 16, 2009 4:34AM

There is neither a greatest common factor nor common factors of a single number, such as 4, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.

The factors of 4 are 1, 2, and 4.

The prime factors of 4 are 2 and 2.

Examples:

The common factors of 4 and 36 are 1, 2, and 4; the greatest common factor is 4.

The common factors of 4 and 54 are 1 and 2; the greatest common factor is 2.

## Related Questions

###### Asked in Factoring and Multiples

### What is the greatest common factor of 4 and 8?

The greatest common factor of 4 and 8 is: 4.
Definition: A factor is a divisor - a number that will
evenly divide into another number. The greatest common factor of
two or more numbers is the largest factor that both numbers have in
common.
Details of Solving the Problem
The greatest common factor of 4 is itself. Because 4 is a factor
of 8 (2 x 4 = 8), and since there is no greater (larger) factor for
4 other than 4 itself, 4 is the greatest common factor of 8 and
4.
Another way to determine the greatest common factor is to find
all the factors of the numbers and compare them.
The factors of 4 are 1, 2, and 4.
The factors of 8 are 1, 2, 4, and 8.
The common factors are 1, 2, and 4. Therefore, the greatest
common factor is 4.
The greatest common factor can also be calculated by identifying
the common prime factors and multiplying them together.
The prime factors of 4 are 2 and 2.
The prime factors of 8 are 2, 2, and 2.
The prime factors in common are 2 and 2, so the greatest common
factor is 2 x 2 = 4.
Summary:
The common factors of 4 and 8 are 1, 2, and 4.
The greatest common factor of 4 and 8 is 4.
The GCF of 4 and 8 is 4.
4
4
The GCF is 4.

###### Asked in Factoring and Multiples

### What is the greatest common factor of 12 and 44?

The greatest common factor of 12 and 44 is 4.
One way to determine the greatest common factor is to find all
the factors of the numbers and compare them.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The factors of 44 are 1, 2, 4, 11, 22, and 44.
The common factors are 1, 2, and 4. Therefore, the greatest
common factor is 4.
The greatest common factor can also be calculated by identifying
the common prime factors and multiplying them together.
The prime factors of 12 are 2, 2, and 3.
The prime factors of 44 are 2, 2, and 11.
The prime factors in common are 2 and 2, so the greatest common
factor is 2 x 2 = 4.
The GCF is 4.

###### Asked in Factoring and Multiples

### What are the common factors and greatest common factor of 12?

Short answer: There are none.
There is neither a greatest common factor nor common factors of
a single number, such as 12, because there cannot be any form of
common factor without two or more numbers to compare. Common
factors are factors that the numbers being compared have in common.
The greatest common factor is the largest factor that all the
numbers being compared have in common. Thus, since there are not
two or more numbers to compare, there are neither common factors
nor a greatest common factor.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
Examples:
The common factors of 7 and 12 are only 1; the greatest common
factor is 1.
The common factors of 12 and 16 are 1, 2, and 4; the greatest
common factor is 4.
The common factors of 12 and 18 are 1, 2, 3, and 6; the greatest
common factor is 6.
The common factors of 12 and 30 are 1, 2, 3, and 6; the greatest
common factor is 6.
The common factors of 12 and 34 are 1 and 2; the greatest common
factor is 2.
The common factors of 12 and 44 are 1, 2, and 4; the greatest
common factor is 4.
The common factors of 12 and 96 are 1, 2, 3, 4, 6, and 12; the
greatest common factor is 12.

###### Asked in Factoring and Multiples

### What are the common factors and greatest common factor of 432?

Short answer: There are none.
There is neither a greatest common factor nor common factors of
a single number, such as 432, because there cannot be any form of
common factor without two or more numbers to compare. Common
factors are factors that the numbers being compared have in common.
The greatest common factor is the largest factor that all the
numbers being compared have in common. Thus, since there are not
two or more numbers to compare, there are neither common factors
nor a greatest common factor.
Examples:
The common factors of 8 and 432 are 1, 2, 4, and 8; the greatest
common factor is 8.
The common factors of 19 and 432 are 1; the greatest common
factor is 1.
The common factors of 100 and 432 are 1, 2, and 4; the greatest
common factor is 4.

###### Asked in Factoring and Multiples

### What are the common factors and greatest common factor of 64?

As an example the factors of 64 are 1, 2, 4, 8, 16, 32, and
64.
Examples:
The common factors of 9 and 64 are only 1; the greatest common
factor is 1.
The common factors of 48 and 64 are 1, 2, 4, 8, and 16; the
greatest common factor is 16.
The common factors of 64 and 100 are 1, 2, and 4; the greatest
common factor is 4.
Note that for common factors you need two or more numbers

###### Asked in Factoring and Multiples

### What are the common factors and greatest common factor of 44?

Short answer: There are none.
There is neither a greatest common factor nor common factors of
a single number, such as ??, because there cannot be any form of
common factor without two or more numbers to compare. Common
factors are factors that the numbers being compared have in common.
The greatest common factor is the largest factor that all the
numbers being compared have in common. Thus, since there are not
two or more numbers to compare, there are neither common factors
nor a greatest common factor.
The factors of 44 are 1, 2, 4, 11, 22, and 44.
Examples:
The common factors of 11 and 44 are 1 and 11; the greatest
common factor is 11.
The common factors of 18 and 44 are 1 and 2; the greatest common
factor is 2.
The common factors of 44 and 55 are 1 and 11; the greatest
common factor is 11.
The common factors of 44 and 66 are 1, 2, 11, and 22; the
greatest common factor is 22.
The common factors of 44 and 132 are 1, 2, 4, 11, 22, and 44;
the greatest common factor is 44.
The common factors of 44 and 136 are 1, 2, and 4; the greatest
common factor is 4.