Factoring and Multiples

# Is the least common factor of 51 and 18?

Top Answer

###### Wiki User

###### June 28, 2017 1:49PM

It is 1 but the HCF is 3

## Related Questions

###### Asked in Factoring and Multiples

### What is the greatest common factor of 18 and 51?

The greatest common factor of 18 and 51 is 3.
18 ÷ 3 = 6
51 ÷ 3 = 17
Method: One way to determine the greatest common factor
is to find all the factors of the numbers and compare them.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 51 are 1, 3, 17, and 51.
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 18 are 2, 3, and 3.
The prime factors of 51 are 3 and 17.
The prime factors in common are a single 3, so the greatest
common factor is 3.
The greatest common factor of 51 and 18 is 3

###### Asked in Factoring and Multiples

### What is the least common factor of 51?

Short answer: There is none.
There is not a least common factor of a single number, such as
51, 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 least common factor is
the smallest factor that all the numbers being compared have in
common. Thus, since there are not two or more numbers to compare,
there is not a least common factor.
Note: The least common factor of two or more positive integers
is 1.

###### Asked in Factoring and Multiples

### What is the greatest common factor of 51?

There is not a greatest common factor of 51 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 factors of 51 are 1, 3, 17, and 51.
Examples:
The greatest common factor of 34 and 51 is 17.
The greatest common factor of 51 and 90 is 3.
The greatest common factor of 5 and 51 is 1.
You need at least two numbers to find a GCF.

###### Asked in Factoring and Multiples

### What is the meaning of least common factor?

Least common factor is not a mathematical term because 1 is the
least, or lowest, factor of any whole number and is common to all
numbers.
The Greatest Common Factor (GCF) is the largest factor common to
two or more numbers. For example, 17 is the GCF of 34, 51, and 102
because it is the largest number that is a factor common to all
three numbers.

###### Asked in Factoring and Multiples

### What is the greatest common factor of 18?

You need at least two numbers to find a GCF. There is no common
factor for a single number. The Greatest Common Factor (GCF) is the
largest factor common to two or more numbers. For example, 17 is
the GCF of 34, 51, and 102 because it is the largest number that is
a factor common to all three numbers.