# Find the GCF 18x , 15

18x , 15
Since 18x,15 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 18x,15:
1. Find the GCF for the numerical part 18,15
2. Find the GCF for the variable part x1
3. Multiply the values together
Find the common factors for the numerical part:
18,15
The factors for 18 are 1,2,3,6,9,18.
The factors for 18 are all numbers between 1 and 18, which divide 18 evenly.
Check numbers between 1 and 18
Find the factor pairs of 18 where x⋅y=18.
xy1182936
List the factors for 18.
1,2,3,6,9,18
1,2,3,6,9,18
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
List all the factors for 18,15 to find the common factors.
18: 1,2,3,6,9,18
15: 1,3,5,15
The common factors for 18,15 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 18x , 15