# Find the GCF 15 , 30 , 45 15 , 30 , 45
Find the common factors for the numerical part:
15,30,45
The factors for 15 are 1,3,5,15.
The factors for 15 are all numbers between 1 and 15, which divide 15 evenly.
Check numbers between 1 and 15
Find the factor pairs of 15 where x⋅y=15.
xy11535
List the factors for 15.
1,3,5,15
1,3,5,15
The factors for 30 are 1,2,3,5,6,10,15,30.
The factors for 30 are all numbers between 1 and 30, which divide 30 evenly.
Check numbers between 1 and 30
Find the factor pairs of 30 where x⋅y=30.
xy13021531056
List the factors for 30.
1,2,3,5,6,10,15,30
1,2,3,5,6,10,15,30
The factors for 45 are 1,3,5,9,15,45.
The factors for 45 are all numbers between 1 and 45, which divide 45 evenly.
Check numbers between 1 and 45
Find the factor pairs of 45 where x⋅y=45.
xy14531559
List the factors for 45.
1,3,5,9,15,45
1,3,5,9,15,45
List all the factors for 15,30,45 to find the common factors.
15: 1,3,5,15
30: 1,2,3,5,6,10,15,30
45: 1,3,5,9,15,45
The common factors for 15,30,45 are 1,3,5,15.
1,3,5,15
The GCF (HCF) of the numerical factors 1,3,5,15 is 15.
15
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