18x , 10

Since 18x,10 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,10:

1. Find the GCF for the numerical part 18,10

2. Find the GCF for the variable part x1

3. Multiply the values together

Find the common factors for the numerical part:

18,10

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 10 are all numbers between 1 and 10, which divide 10 evenly.

Check numbers between 1 and 10

Find the factor pairs of 10 where x⋅y=10.

xy11025

List the factors for 10.

1,2,5,10

1,2,5,10

List all the factors for 18,10 to find the common factors.

18: 1,2,3,6,9,18

10: 1,2,5,10

The common factors for 18,10 are 1,2.

1,2

The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1,2 is 2.

2

Find the GCF 18x , 10