Factoring and Multiples

# What is the greatest common factor of 30 and 33?

###### Wiki User

###### December 27, 2008 7:52AM

The factors of 33 are 1, 3, 11, and 33.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The greatest common factor is 3.

## Related Questions

###### Asked in Factoring and Multiples

### What is the greatest common factor of 30 33 and 87?

The difference between 30 and 33 is 3, so the greatest common
factor cannot be larger than 3. Since 3 divides evenly into 30, 33,
and 87, the greatest common factor is 3.
Another way to determine the greatest common factor is to find
all the factors of the numbers and compare them.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of 33 are 1, 3, 11, and 33.
The factors of 87 are 1, 3, 29, and 87.
The common factors are 1 and 3. Therefore, the greatest common
factor is 3.
The greatest common factor can also be calculated by identifying
the common prime factors and multiplying them together.
The prime factors of 30 are 2, 3, and 5.
The prime factors of 33 are 3 and 11.
The prime factors of 87 are 3 and 29.
The prime factors in common are a single 3, so the greatest
common factor is 3. The difference between 30 and 33 is 3, so the
greatest common factor cannot be larger than 3. Since 3 divides
evenly into 30, 33, and 87, the greatest common factor is 3.
Another way to determine the greatest common factor is to find
all the factors of the numbers and compare them.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of 33 are 1, 3, 11, and 33.
The factors of 87 are 1, 3, 29, and 87.
The common factors are 1 and 3. Therefore, the greatest common
factor is 3.
The greatest common factor can also be calculated by identifying
the common prime factors and multiplying them together.
The prime factors of 30 are 2, 3, and 5.
The prime factors of 33 are 3 and 11.
The prime factors of 87 are 3 and 29.
The prime factors in common are a single 3, so the greatest
common factor is 3.

###### Asked in Algebra, Factoring and Multiples

### What is the greatest common factor of 3 30 and 33?

The greatest common factor (GCF) is often also called the
greatest common divisor (GCD) or highest common factor (HCF). Keep
in mind that these different terms all refer to the same thing: the
largest integer which evenly divides two or more numbers.
The greatest common factor of 3, 30, and 33 is 3.