Find the GCF 63z^4 , 27z^7

Math
63z4 , 27z7
Since 63z4,27z7 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for 63z4,27z7:
1. Find the GCF for the numerical part 63,27
2. Find the GCF for the variable part z4,z7
3. Multiply the values together
Find the common factors for the numerical part:
63,27
The factors for 63 are 1,3,7,9,21,63.
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The factors for 63 are all numbers between 1 and 63, which divide 63 evenly.
Check numbers between 1 and 63
Find the factor pairs of 63 where x⋅y=63.
xy16332179
List the factors for 63.
1,3,7,9,21,63
1,3,7,9,21,63
The factors for 27 are 1,3,9,27.
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The factors for 27 are all numbers between 1 and 27, which divide 27 evenly.
Check numbers between 1 and 27
Find the factor pairs of 27 where x⋅y=27.
xy12739
List the factors for 27.
1,3,9,27
1,3,9,27
List all the factors for 63,27 to find the common factors.
63: 1,3,7,9,21,63
27: 1,3,9,27
The common factors for 63,27 are 1,3,9.
1,3,9
The GCF for the numerical part is 9.
GCFNumerical=9
Next, find the common factors for the variable part:
z4,z7
The factors for z4 are z⋅z⋅z⋅z.
z⋅z⋅z⋅z
The factors for z7 are z⋅z⋅z⋅z⋅z⋅z⋅z.
z⋅z⋅z⋅z⋅z⋅z⋅z
List all the factors for z4,z7 to find the common factors.
z4=z⋅z⋅z⋅z
z7=z⋅z⋅z⋅z⋅z⋅z⋅z
The common factors for the variables z4,z7 are z⋅z⋅z⋅z.
z⋅z⋅z⋅z
The GCF for the variable part is z4.
GCFVariable=z4
Multiply the GCF of the numerical part 9 and the GCF of the variable part z4.
9z4
Find the GCF 63z^4 , 27z^7

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