# Find the GCF 21 , 14 , 2 21 , 14 , 2
Find the common factors for the numerical part:
21,14,2
The factors for 21 are 1,3,7,21.
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 14 are 1,2,7,14.
The factors for 14 are all numbers between 1 and 14, which divide 14 evenly.
Check numbers between 1 and 14
Find the factor pairs of 14 where x⋅y=14.
xy11427
List the factors for 14.
1,2,7,14
1,2,7,14
The factors for 2 are 1,2.
The factors for 2 are all numbers between 1 and 2, which divide 2 evenly.
Check numbers between 1 and 2
Find the factor pairs of 2 where x⋅y=2.
xy12
List the factors for 2.
1,2
1,2
List all the factors for 21,14,2 to find the common factors.
21: 1,3,7,21
14: 1,2,7,14
2: 1,2
The common factors for 21,14,2 are 1.
1
The GCF (HCF) of the numerical factors 1 is 1.
1
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