Pregunta
Identify the greatest common factor of
and
.
Ask by Moran Chandler. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The greatest common factor of
and
is
.
Solución
-
Write each term as a product of its factors:
-
-
Identify the common factors:
- The integer part common to both is
since is the smallest power of common to both. - The variable
is present in both terms.
- The integer part common to both is
-
Multiply the common factors:
- The greatest common factor (GCF) is
.
- The greatest common factor (GCF) is
Thus, the greatest common factor of
and
is
.
Respondido por UpStudy AI y revisado por un tutor profesional
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Extra Insights
To find the greatest common factor (GCF) of
and
, we start by identifying the factors of each term.
For
:
- The prime factorization of 8 is
. - Thus,
.
For
:
- The prime factorization of 14 is
. - Therefore,
.
Now, we take the common factors:
- The common numerical factor is
. - The common variable factor is
.
Putting them together, the GCF is
.
So, the greatest common factor of
and
is
.
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