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The greatest common factor is 9.
Solución
-
Write each number in prime factorization form:
-
-
Identify the common prime factors:
- The common factor in each expression is
.
- The common factor in each expression is
-
Multiply the lowest powers of the common primes:
- The greatest common factor is
.
- The greatest common factor is
Thus, the greatest common factor is
.
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Bonus Knowledge
To find the greatest common factor (GCF) of the numbers
,
, and
, we start by identifying the prime factorization of each number.
-
has the prime factors and . -
has the prime factors and . -
has the prime factors , , and .
Next, we find the GCF by taking the lowest power of each common prime factor present in all three factorizations:
- For the prime factor
: the lowest power is . - The prime factor
appears in the second and third numbers , but not in the first one, so we do not include it. - The prime factors
and appear only in one of the factorizations, so they are not included in the GCF.
Thus, the GCF is:
Therefore, the greatest common factor of
,
, and
is
.

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