###### Asked in Factoring and Multiples

Factoring and Multiples

# What is the greatest common factors of 24 36 48 and 60?

## Answer

###### Wiki User

###### June 16, 2014 2:54PM

The greatest common factor is **12**

## Related Questions

###### Asked in Math and Arithmetic, Factoring and Multiples

### Why can't 24 be the greatest common factor of 36?

There is not a greatest common factor of a single number, such
as 36, because there cannot be a greatest 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.
24 could not be the GCF of 36 and another number because 24 is
not a factor of 36.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The prime factors of 36 are 2, 2, 3, and 3.

###### Asked in Factoring and Multiples

### What is the greatest common factor of 24 and 36?

The greatest common factor of 24 and 36 is 12.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
You also can easily find the GCF by multiplying the common prime
factors
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
Common factors are 2 x 2 x 3 =12
The greatest common factor is 12
The GCF is 12.

###### Asked in Factoring and Multiples

### What is the greatest common factor of 12 24 and 36?

Since 12 evenly divides into both 24 and 36, and is the largest
factor of itself, 12 is the greatest common factor.
Another 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 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The common factors are 1, 2, 3, 4, 6, and 12. Therefore, the
greatest common factor is 12.
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 24 are 2, 2, 2, and 3.
The prime factors of 36 are 2, 2, 3, and 3.
The prime factors in common are 2, 2, and 3, so the greatest
common factor is 2 x 2 x 3 = 12.

###### Asked in Factoring and Multiples

### What is the greatest common factor of 24 36 and 52?

The GCF of 24, 36, and 52 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 the numbers have in
common.
Method:
One way to determine the common factors and greatest common
factor is to find all the factors of the numbers and compare
them.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
The factors of 52 are 1, 2, 4, 13, 26, and 52.
The common factors are 1, 2, and 4. Therefore, the greatest
common factor is 4.

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