Find the GCF 21 , 3x

Math
21 , 3x
Since 21,3x 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 21,3x:
1. Find the GCF for the numerical part 21,3
2. Find the GCF for the variable part x1
3. Multiply the values together
Find the common factors for the numerical part:
21,3
The factors for 21 are 1,3,7,21.
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The factors for 21 are all numbers between 1 and 21, which divide 21 evenly.
Check numbers between 1 and 21
Find the factor pairs of 21 where x⋅y=21.
xy12137
List the factors for 21.
1,3,7,21
1,3,7,21
The factors for 3 are 1,3.
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The factors for 3 are all numbers between 1 and 3, which divide 3 evenly.
Check numbers between 1 and 3
Find the factor pairs of 3 where x⋅y=3.
xy13
List the factors for 3.
1,3
1,3
List all the factors for 21,3 to find the common factors.
21: 1,3,7,21
3: 1,3
The common factors for 21,3 are 1,3.
1,3
The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1,3 is 3.
3
Find the GCF 21 , 3x

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